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Finding the Third Proportional to 131,715 and 288,517

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Solution

The third proportional to 131,715 and 288,517 is: 631,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,715 : 288,517 = 288,517 : x
  2. Step 2: Convert to fraction form
    131,715/288,517 = 288,517/x
  3. Step 3: Cross multiply
    131,715x = 288,517 × 288,517
  4. Step 4: Simplify right side
    131,715x = 83,242,059,289
  5. Step 5: Solve for x
    x = 83,242,059,289/131,715
  6. Step 6: Final answer
    x = 631,986.18

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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.