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Finding the Third Proportional to 129,240 and 273,384

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Solution

The third proportional to 129,240 and 273,384 is: 578,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,240 : 273,384 = 273,384 : x
  2. Step 2: Convert to fraction form
    129,240/273,384 = 273,384/x
  3. Step 3: Cross multiply
    129,240x = 273,384 × 273,384
  4. Step 4: Simplify right side
    129,240x = 74,738,811,456
  5. Step 5: Solve for x
    x = 74,738,811,456/129,240
  6. Step 6: Final answer
    x = 578,294.73

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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.