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Finding the Third Proportional to 30,717 and 66,897

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Solution

The third proportional to 30,717 and 66,897 is: 145,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,717 : 66,897 = 66,897 : x
  2. Step 2: Convert to fraction form
    30,717/66,897 = 66,897/x
  3. Step 3: Cross multiply
    30,717x = 66,897 × 66,897
  4. Step 4: Simplify right side
    30,717x = 4,475,208,609
  5. Step 5: Solve for x
    x = 4,475,208,609/30,717
  6. Step 6: Final answer
    x = 145,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.