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Finding the Third Proportional to 330,874 and 724,765

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Solution

The third proportional to 330,874 and 724,765 is: 1,587,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,874 : 724,765 = 724,765 : x
  2. Step 2: Convert to fraction form
    330,874/724,765 = 724,765/x
  3. Step 3: Cross multiply
    330,874x = 724,765 × 724,765
  4. Step 4: Simplify right side
    330,874x = 525,284,305,225
  5. Step 5: Solve for x
    x = 525,284,305,225/330,874
  6. Step 6: Final answer
    x = 1,587,565.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.