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Finding the Third Proportional to 129,232 and 273,808

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Solution

The third proportional to 129,232 and 273,808 is: 580,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,232 : 273,808 = 273,808 : x
  2. Step 2: Convert to fraction form
    129,232/273,808 = 273,808/x
  3. Step 3: Cross multiply
    129,232x = 273,808 × 273,808
  4. Step 4: Simplify right side
    129,232x = 74,970,820,864
  5. Step 5: Solve for x
    x = 74,970,820,864/129,232
  6. Step 6: Final answer
    x = 580,125.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.