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Finding the Third Proportional to 274,599 and 410,903

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Solution

The third proportional to 274,599 and 410,903 is: 614,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,599 : 410,903 = 410,903 : x
  2. Step 2: Convert to fraction form
    274,599/410,903 = 410,903/x
  3. Step 3: Cross multiply
    274,599x = 410,903 × 410,903
  4. Step 4: Simplify right side
    274,599x = 168,841,275,409
  5. Step 5: Solve for x
    x = 168,841,275,409/274,599
  6. Step 6: Final answer
    x = 614,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.