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Finding the Third Proportional to 129,400 and 173,900

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Solution

The third proportional to 129,400 and 173,900 is: 233,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,400 : 173,900 = 173,900 : x
  2. Step 2: Convert to fraction form
    129,400/173,900 = 173,900/x
  3. Step 3: Cross multiply
    129,400x = 173,900 × 173,900
  4. Step 4: Simplify right side
    129,400x = 30,241,210,000
  5. Step 5: Solve for x
    x = 30,241,210,000/129,400
  6. Step 6: Final answer
    x = 233,703.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.