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Finding the Third Proportional to 57,397 and 90,497

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Solution

The third proportional to 57,397 and 90,497 is: 142,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,397 : 90,497 = 90,497 : x
  2. Step 2: Convert to fraction form
    57,397/90,497 = 90,497/x
  3. Step 3: Cross multiply
    57,397x = 90,497 × 90,497
  4. Step 4: Simplify right side
    57,397x = 8,189,707,009
  5. Step 5: Solve for x
    x = 8,189,707,009/57,397
  6. Step 6: Final answer
    x = 142,685.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.