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Finding the Third Proportional to 57,482 and 121,900

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Solution

The third proportional to 57,482 and 121,900 is: 258,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,482 : 121,900 = 121,900 : x
  2. Step 2: Convert to fraction form
    57,482/121,900 = 121,900/x
  3. Step 3: Cross multiply
    57,482x = 121,900 × 121,900
  4. Step 4: Simplify right side
    57,482x = 14,859,610,000
  5. Step 5: Solve for x
    x = 14,859,610,000/57,482
  6. Step 6: Final answer
    x = 258,508.92

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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.