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Finding the Third Proportional to 298,332 and 451,831

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Solution

The third proportional to 298,332 and 451,831 is: 684,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,332 : 451,831 = 451,831 : x
  2. Step 2: Convert to fraction form
    298,332/451,831 = 451,831/x
  3. Step 3: Cross multiply
    298,332x = 451,831 × 451,831
  4. Step 4: Simplify right side
    298,332x = 204,151,252,561
  5. Step 5: Solve for x
    x = 204,151,252,561/298,332
  6. Step 6: Final answer
    x = 684,308.93

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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.