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Finding the Third Proportional to 129,402 and 284,868

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Solution

The third proportional to 129,402 and 284,868 is: 627,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,402 : 284,868 = 284,868 : x
  2. Step 2: Convert to fraction form
    129,402/284,868 = 284,868/x
  3. Step 3: Cross multiply
    129,402x = 284,868 × 284,868
  4. Step 4: Simplify right side
    129,402x = 81,149,777,424
  5. Step 5: Solve for x
    x = 81,149,777,424/129,402
  6. Step 6: Final answer
    x = 627,113.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.