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Finding the Third Proportional to 129,020 and 195,474

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Solution

The third proportional to 129,020 and 195,474 is: 296,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,020 : 195,474 = 195,474 : x
  2. Step 2: Convert to fraction form
    129,020/195,474 = 195,474/x
  3. Step 3: Cross multiply
    129,020x = 195,474 × 195,474
  4. Step 4: Simplify right side
    129,020x = 38,210,084,676
  5. Step 5: Solve for x
    x = 38,210,084,676/129,020
  6. Step 6: Final answer
    x = 296,156.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.