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Finding the Third Proportional to 207,903 and 316,229

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Solution

The third proportional to 207,903 and 316,229 is: 480,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,903 : 316,229 = 316,229 : x
  2. Step 2: Convert to fraction form
    207,903/316,229 = 316,229/x
  3. Step 3: Cross multiply
    207,903x = 316,229 × 316,229
  4. Step 4: Simplify right side
    207,903x = 100,000,780,441
  5. Step 5: Solve for x
    x = 100,000,780,441/207,903
  6. Step 6: Final answer
    x = 480,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.