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Finding the Third Proportional to 131,287 and 316,523.13

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Solution

The third proportional to 131,287 and 316,523.13 is: 763,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,287 : 316,523.13 = 316,523.13 : x
  2. Step 2: Convert to fraction form
    131,287/316,523.13 = 316,523.13/x
  3. Step 3: Cross multiply
    131,287x = 316,523.13 × 316,523.13
  4. Step 4: Simplify right side
    131,287x = 100,186,888,659.77
  5. Step 5: Solve for x
    x = 100,186,888,659.77/131,287
  6. Step 6: Final answer
    x = 763,113.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.