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Finding the Third Proportional to 129,467 and 174,920

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Solution

The third proportional to 129,467 and 174,920 is: 236,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,467 : 174,920 = 174,920 : x
  2. Step 2: Convert to fraction form
    129,467/174,920 = 174,920/x
  3. Step 3: Cross multiply
    129,467x = 174,920 × 174,920
  4. Step 4: Simplify right side
    129,467x = 30,597,006,400
  5. Step 5: Solve for x
    x = 30,597,006,400/129,467
  6. Step 6: Final answer
    x = 236,330.54

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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.