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Finding the Third Proportional to 30,339 and 65,605

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Solution

The third proportional to 30,339 and 65,605 is: 141,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339 : 65,605 = 65,605 : x
  2. Step 2: Convert to fraction form
    30,339/65,605 = 65,605/x
  3. Step 3: Cross multiply
    30,339x = 65,605 × 65,605
  4. Step 4: Simplify right side
    30,339x = 4,304,016,025
  5. Step 5: Solve for x
    x = 4,304,016,025/30,339
  6. Step 6: Final answer
    x = 141,864.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.