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Finding the Third Proportional to 842,805 and 1,820,313

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Solution

The third proportional to 842,805 and 1,820,313 is: 3,931,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,805 : 1,820,313 = 1,820,313 : x
  2. Step 2: Convert to fraction form
    842,805/1,820,313 = 1,820,313/x
  3. Step 3: Cross multiply
    842,805x = 1,820,313 × 1,820,313
  4. Step 4: Simplify right side
    842,805x = 3,313,539,417,969
  5. Step 5: Solve for x
    x = 3,313,539,417,969/842,805
  6. Step 6: Final answer
    x = 3,931,561.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.