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Finding the Third Proportional to 129,482 and 174,942

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Solution

The third proportional to 129,482 and 174,942 is: 236,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,482 : 174,942 = 174,942 : x
  2. Step 2: Convert to fraction form
    129,482/174,942 = 174,942/x
  3. Step 3: Cross multiply
    129,482x = 174,942 × 174,942
  4. Step 4: Simplify right side
    129,482x = 30,604,703,364
  5. Step 5: Solve for x
    x = 30,604,703,364/129,482
  6. Step 6: Final answer
    x = 236,362.61

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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.