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Finding the Third Proportional to 131,076 and 284,344

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Solution

The third proportional to 131,076 and 284,344 is: 616,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,076 : 284,344 = 284,344 : x
  2. Step 2: Convert to fraction form
    131,076/284,344 = 284,344/x
  3. Step 3: Cross multiply
    131,076x = 284,344 × 284,344
  4. Step 4: Simplify right side
    131,076x = 80,851,510,336
  5. Step 5: Solve for x
    x = 80,851,510,336/131,076
  6. Step 6: Final answer
    x = 616,829.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.