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Finding the Third Proportional to 143,553,420 and 314,896,806

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Solution

The third proportional to 143,553,420 and 314,896,806 is: 690,753,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,553,420 : 314,896,806 = 314,896,806 : x
  2. Step 2: Convert to fraction form
    143,553,420/314,896,806 = 314,896,806/x
  3. Step 3: Cross multiply
    143,553,420x = 314,896,806 × 314,896,806
  4. Step 4: Simplify right side
    143,553,420x = 99,159,998,429,001,632
  5. Step 5: Solve for x
    x = 99,159,998,429,001,632/143,553,420
  6. Step 6: Final answer
    x = 690,753,298.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.