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Finding the Third Proportional to 129,942 and 284,706

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Solution

The third proportional to 129,942 and 284,706 is: 623,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,942 : 284,706 = 284,706 : x
  2. Step 2: Convert to fraction form
    129,942/284,706 = 284,706/x
  3. Step 3: Cross multiply
    129,942x = 284,706 × 284,706
  4. Step 4: Simplify right side
    129,942x = 81,057,506,436
  5. Step 5: Solve for x
    x = 81,057,506,436/129,942
  6. Step 6: Final answer
    x = 623,797.59

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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.