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Finding the Third Proportional to 129,080 and 277,934

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Solution

The third proportional to 129,080 and 277,934 is: 598,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,080 : 277,934 = 277,934 : x
  2. Step 2: Convert to fraction form
    129,080/277,934 = 277,934/x
  3. Step 3: Cross multiply
    129,080x = 277,934 × 277,934
  4. Step 4: Simplify right side
    129,080x = 77,247,308,356
  5. Step 5: Solve for x
    x = 77,247,308,356/129,080
  6. Step 6: Final answer
    x = 598,445.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.