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Finding the Third Proportional to 347,166 and 721,974

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Solution

The third proportional to 347,166 and 721,974 is: 1,501,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,166 : 721,974 = 721,974 : x
  2. Step 2: Convert to fraction form
    347,166/721,974 = 721,974/x
  3. Step 3: Cross multiply
    347,166x = 721,974 × 721,974
  4. Step 4: Simplify right side
    347,166x = 521,246,456,676
  5. Step 5: Solve for x
    x = 521,246,456,676/347,166
  6. Step 6: Final answer
    x = 1,501,432.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.