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Finding the Third Proportional to 129,470 and 193,665

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Solution

The third proportional to 129,470 and 193,665 is: 289,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,470 : 193,665 = 193,665 : x
  2. Step 2: Convert to fraction form
    129,470/193,665 = 193,665/x
  3. Step 3: Cross multiply
    129,470x = 193,665 × 193,665
  4. Step 4: Simplify right side
    129,470x = 37,506,132,225
  5. Step 5: Solve for x
    x = 37,506,132,225/129,470
  6. Step 6: Final answer
    x = 289,689.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.