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Finding the Third Proportional to 780,020,456,642 and 1,581,973,313,260

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Solution

The third proportional to 780,020,456,642 and 1,581,973,313,260 is: 3,208,428,115,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,020,456,642 : 1,581,973,313,260 = 1,581,973,313,260 : x
  2. Step 2: Convert to fraction form
    780,020,456,642/1,581,973,313,260 = 1,581,973,313,260/x
  3. Step 3: Cross multiply
    780,020,456,642x = 1,581,973,313,260 × 1,581,973,313,260
  4. Step 4: Simplify right side
    780,020,456,642x = 2,502,639,563,866,822,062,112,768
  5. Step 5: Solve for x
    x = 2,502,639,563,866,822,062,112,768/780,020,456,642
  6. Step 6: Final answer
    x = 3,208,428,115,642.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.