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Finding the Third Proportional to 54,438 and 117,897

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Solution

The third proportional to 54,438 and 117,897 is: 255,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438 : 117,897 = 117,897 : x
  2. Step 2: Convert to fraction form
    54,438/117,897 = 117,897/x
  3. Step 3: Cross multiply
    54,438x = 117,897 × 117,897
  4. Step 4: Simplify right side
    54,438x = 13,899,702,609
  5. Step 5: Solve for x
    x = 13,899,702,609/54,438
  6. Step 6: Final answer
    x = 255,330.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.