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Finding the Third Proportional to 129,003.50 and 273,681

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Solution

The third proportional to 129,003.50 and 273,681 is: 580,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,003.50 : 273,681 = 273,681 : x
  2. Step 2: Convert to fraction form
    129,003.50/273,681 = 273,681/x
  3. Step 3: Cross multiply
    129,003.50x = 273,681 × 273,681
  4. Step 4: Simplify right side
    129,003.50x = 74,901,289,761
  5. Step 5: Solve for x
    x = 74,901,289,761/129,003.50
  6. Step 6: Final answer
    x = 580,614.40

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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.