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Finding the Third Proportional to 57,397 and 121,634

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Solution

The third proportional to 57,397 and 121,634 is: 257,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,397 : 121,634 = 121,634 : x
  2. Step 2: Convert to fraction form
    57,397/121,634 = 121,634/x
  3. Step 3: Cross multiply
    57,397x = 121,634 × 121,634
  4. Step 4: Simplify right side
    57,397x = 14,794,829,956
  5. Step 5: Solve for x
    x = 14,794,829,956/57,397
  6. Step 6: Final answer
    x = 257,763.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.