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Finding the Third Proportional to 129,468 and 174,921

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Solution

The third proportional to 129,468 and 174,921 is: 236,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468 : 174,921 = 174,921 : x
  2. Step 2: Convert to fraction form
    129,468/174,921 = 174,921/x
  3. Step 3: Cross multiply
    129,468x = 174,921 × 174,921
  4. Step 4: Simplify right side
    129,468x = 30,597,356,241
  5. Step 5: Solve for x
    x = 30,597,356,241/129,468
  6. Step 6: Final answer
    x = 236,331.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.