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Finding the Third Proportional to 65,508 and 103,897

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Solution

The third proportional to 65,508 and 103,897 is: 164,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508 : 103,897 = 103,897 : x
  2. Step 2: Convert to fraction form
    65,508/103,897 = 103,897/x
  3. Step 3: Cross multiply
    65,508x = 103,897 × 103,897
  4. Step 4: Simplify right side
    65,508x = 10,794,586,609
  5. Step 5: Solve for x
    x = 10,794,586,609/65,508
  6. Step 6: Final answer
    x = 164,782.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.