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Finding the Third Proportional to 129,960 and 284,742

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Solution

The third proportional to 129,960 and 284,742 is: 623,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,960 : 284,742 = 284,742 : x
  2. Step 2: Convert to fraction form
    129,960/284,742 = 284,742/x
  3. Step 3: Cross multiply
    129,960x = 284,742 × 284,742
  4. Step 4: Simplify right side
    129,960x = 81,078,006,564
  5. Step 5: Solve for x
    x = 81,078,006,564/129,960
  6. Step 6: Final answer
    x = 623,868.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.