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Finding the Third Proportional to 131,788 and 284,312

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Solution

The third proportional to 131,788 and 284,312 is: 613,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,788 : 284,312 = 284,312 : x
  2. Step 2: Convert to fraction form
    131,788/284,312 = 284,312/x
  3. Step 3: Cross multiply
    131,788x = 284,312 × 284,312
  4. Step 4: Simplify right side
    131,788x = 80,833,313,344
  5. Step 5: Solve for x
    x = 80,833,313,344/131,788
  6. Step 6: Final answer
    x = 613,358.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.