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Finding the Third Proportional to 57,498 and 77,275

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Solution

The third proportional to 57,498 and 77,275 is: 103,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498 : 77,275 = 77,275 : x
  2. Step 2: Convert to fraction form
    57,498/77,275 = 77,275/x
  3. Step 3: Cross multiply
    57,498x = 77,275 × 77,275
  4. Step 4: Simplify right side
    57,498x = 5,971,425,625
  5. Step 5: Solve for x
    x = 5,971,425,625/57,498
  6. Step 6: Final answer
    x = 103,854.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.