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Finding the Third Proportional to 129,440 and 282,304

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Solution

The third proportional to 129,440 and 282,304 is: 615,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,440 : 282,304 = 282,304 : x
  2. Step 2: Convert to fraction form
    129,440/282,304 = 282,304/x
  3. Step 3: Cross multiply
    129,440x = 282,304 × 282,304
  4. Step 4: Simplify right side
    129,440x = 79,695,548,416
  5. Step 5: Solve for x
    x = 79,695,548,416/129,440
  6. Step 6: Final answer
    x = 615,694.90

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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.