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Finding the Third Proportional to 151,643,935,350 and 333,616,127,370

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Solution

The third proportional to 151,643,935,350 and 333,616,127,370 is: 733,954,313,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,643,935,350 : 333,616,127,370 = 333,616,127,370 : x
  2. Step 2: Convert to fraction form
    151,643,935,350/333,616,127,370 = 333,616,127,370/x
  3. Step 3: Cross multiply
    151,643,935,350x = 333,616,127,370 × 333,616,127,370
  4. Step 4: Simplify right side
    151,643,935,350x = 111,299,720,441,356,066,226,176
  5. Step 5: Solve for x
    x = 111,299,720,441,356,066,226,176/151,643,935,350
  6. Step 6: Final answer
    x = 733,954,313,335.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.