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Finding the Third Proportional to 311,561,552 and 493,349,795

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Solution

The third proportional to 311,561,552 and 493,349,795 is: 781,206,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,561,552 : 493,349,795 = 493,349,795 : x
  2. Step 2: Convert to fraction form
    311,561,552/493,349,795 = 493,349,795/x
  3. Step 3: Cross multiply
    311,561,552x = 493,349,795 × 493,349,795
  4. Step 4: Simplify right side
    311,561,552x = 243,394,020,226,542,016
  5. Step 5: Solve for x
    x = 243,394,020,226,542,016/311,561,552
  6. Step 6: Final answer
    x = 781,206,855.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.