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Finding the Third Proportional to 323,428 and 491,670

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Solution

The third proportional to 323,428 and 491,670 is: 747,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,428 : 491,670 = 491,670 : x
  2. Step 2: Convert to fraction form
    323,428/491,670 = 491,670/x
  3. Step 3: Cross multiply
    323,428x = 491,670 × 491,670
  4. Step 4: Simplify right side
    323,428x = 241,739,388,900
  5. Step 5: Solve for x
    x = 241,739,388,900/323,428
  6. Step 6: Final answer
    x = 747,428.76

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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.