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Finding the Third Proportional to 129,392 and 279,560

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Solution

The third proportional to 129,392 and 279,560 is: 604,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,392 : 279,560 = 279,560 : x
  2. Step 2: Convert to fraction form
    129,392/279,560 = 279,560/x
  3. Step 3: Cross multiply
    129,392x = 279,560 × 279,560
  4. Step 4: Simplify right side
    129,392x = 78,153,793,600
  5. Step 5: Solve for x
    x = 78,153,793,600/129,392
  6. Step 6: Final answer
    x = 604,007.93

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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.