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Finding the Third Proportional to 177,737 and 288,761

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Solution

The third proportional to 177,737 and 288,761 is: 469,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,737 : 288,761 = 288,761 : x
  2. Step 2: Convert to fraction form
    177,737/288,761 = 288,761/x
  3. Step 3: Cross multiply
    177,737x = 288,761 × 288,761
  4. Step 4: Simplify right side
    177,737x = 83,382,915,121
  5. Step 5: Solve for x
    x = 83,382,915,121/177,737
  6. Step 6: Final answer
    x = 469,136.51

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.