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Finding the Third Proportional to 129,705 and 279,423

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Solution

The third proportional to 129,705 and 279,423 is: 601,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705 : 279,423 = 279,423 : x
  2. Step 2: Convert to fraction form
    129,705/279,423 = 279,423/x
  3. Step 3: Cross multiply
    129,705x = 279,423 × 279,423
  4. Step 4: Simplify right side
    129,705x = 78,077,212,929
  5. Step 5: Solve for x
    x = 78,077,212,929/129,705
  6. Step 6: Final answer
    x = 601,959.93

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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.