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Finding the Third Proportional to 129,754 and 279,514

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Solution

The third proportional to 129,754 and 279,514 is: 602,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,754 : 279,514 = 279,514 : x
  2. Step 2: Convert to fraction form
    129,754/279,514 = 279,514/x
  3. Step 3: Cross multiply
    129,754x = 279,514 × 279,514
  4. Step 4: Simplify right side
    129,754x = 78,128,076,196
  5. Step 5: Solve for x
    x = 78,128,076,196/129,754
  6. Step 6: Final answer
    x = 602,124.61

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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.