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Finding the Third Proportional to 129,972 and 270,156

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Solution

The third proportional to 129,972 and 270,156 is: 561,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,972 : 270,156 = 270,156 : x
  2. Step 2: Convert to fraction form
    129,972/270,156 = 270,156/x
  3. Step 3: Cross multiply
    129,972x = 270,156 × 270,156
  4. Step 4: Simplify right side
    129,972x = 72,984,264,336
  5. Step 5: Solve for x
    x = 72,984,264,336/129,972
  6. Step 6: Final answer
    x = 561,538.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.