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Finding the Third Proportional to 329,728 and 497,670

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Solution

The third proportional to 329,728 and 497,670 is: 751,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,728 : 497,670 = 497,670 : x
  2. Step 2: Convert to fraction form
    329,728/497,670 = 497,670/x
  3. Step 3: Cross multiply
    329,728x = 497,670 × 497,670
  4. Step 4: Simplify right side
    329,728x = 247,675,428,900
  5. Step 5: Solve for x
    x = 247,675,428,900/329,728
  6. Step 6: Final answer
    x = 751,150.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.