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Finding the Third Proportional to 57,470 and 88,761

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Solution

The third proportional to 57,470 and 88,761 is: 137,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,470 : 88,761 = 88,761 : x
  2. Step 2: Convert to fraction form
    57,470/88,761 = 88,761/x
  3. Step 3: Cross multiply
    57,470x = 88,761 × 88,761
  4. Step 4: Simplify right side
    57,470x = 7,878,515,121
  5. Step 5: Solve for x
    x = 7,878,515,121/57,470
  6. Step 6: Final answer
    x = 137,089.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.