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Finding the Third Proportional to 29,902 and 65,609

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Solution

The third proportional to 29,902 and 65,609 is: 143,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 65,609 = 65,609 : x
  2. Step 2: Convert to fraction form
    29,902/65,609 = 65,609/x
  3. Step 3: Cross multiply
    29,902x = 65,609 × 65,609
  4. Step 4: Simplify right side
    29,902x = 4,304,540,881
  5. Step 5: Solve for x
    x = 4,304,540,881/29,902
  6. Step 6: Final answer
    x = 143,954.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.