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Finding the Third Proportional to 71,972,719 and 155,413,976.50

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Solution

The third proportional to 71,972,719 and 155,413,976.50 is: 335,592,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972,719 : 155,413,976.50 = 155,413,976.50 : x
  2. Step 2: Convert to fraction form
    71,972,719/155,413,976.50 = 155,413,976.50/x
  3. Step 3: Cross multiply
    71,972,719x = 155,413,976.50 × 155,413,976.50
  4. Step 4: Simplify right side
    71,972,719x = 24,153,504,091,542,552
  5. Step 5: Solve for x
    x = 24,153,504,091,542,552/71,972,719
  6. Step 6: Final answer
    x = 335,592,491.53

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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.