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Finding the Third Proportional to 121,397 and 257,860

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Solution

The third proportional to 121,397 and 257,860 is: 547,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,397 : 257,860 = 257,860 : x
  2. Step 2: Convert to fraction form
    121,397/257,860 = 257,860/x
  3. Step 3: Cross multiply
    121,397x = 257,860 × 257,860
  4. Step 4: Simplify right side
    121,397x = 66,491,779,600
  5. Step 5: Solve for x
    x = 66,491,779,600/121,397
  6. Step 6: Final answer
    x = 547,721.77

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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.