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Finding the Third Proportional to 72,551 and 151,660

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Solution

The third proportional to 72,551 and 151,660 is: 317,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,551 : 151,660 = 151,660 : x
  2. Step 2: Convert to fraction form
    72,551/151,660 = 151,660/x
  3. Step 3: Cross multiply
    72,551x = 151,660 × 151,660
  4. Step 4: Simplify right side
    72,551x = 23,000,755,600
  5. Step 5: Solve for x
    x = 23,000,755,600/72,551
  6. Step 6: Final answer
    x = 317,028.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.