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Finding the Third Proportional to 71,807,760 and 155,789,856

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Solution

The third proportional to 71,807,760 and 155,789,856 is: 337,992,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807,760 : 155,789,856 = 155,789,856 : x
  2. Step 2: Convert to fraction form
    71,807,760/155,789,856 = 155,789,856/x
  3. Step 3: Cross multiply
    71,807,760x = 155,789,856 × 155,789,856
  4. Step 4: Simplify right side
    71,807,760x = 24,270,479,232,500,736
  5. Step 5: Solve for x
    x = 24,270,479,232,500,736/71,807,760
  6. Step 6: Final answer
    x = 337,992,429.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.