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Finding the Third Proportional to 210,314 and 458,691

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Solution

The third proportional to 210,314 and 458,691 is: 1,000,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,314 : 458,691 = 458,691 : x
  2. Step 2: Convert to fraction form
    210,314/458,691 = 458,691/x
  3. Step 3: Cross multiply
    210,314x = 458,691 × 458,691
  4. Step 4: Simplify right side
    210,314x = 210,397,433,481
  5. Step 5: Solve for x
    x = 210,397,433,481/210,314
  6. Step 6: Final answer
    x = 1,000,396.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.