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Finding the Third Proportional to 864,691 and 1,231,765

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Solution

The third proportional to 864,691 and 1,231,765 is: 1,754,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,691 : 1,231,765 = 1,231,765 : x
  2. Step 2: Convert to fraction form
    864,691/1,231,765 = 1,231,765/x
  3. Step 3: Cross multiply
    864,691x = 1,231,765 × 1,231,765
  4. Step 4: Simplify right side
    864,691x = 1,517,245,015,225
  5. Step 5: Solve for x
    x = 1,517,245,015,225/864,691
  6. Step 6: Final answer
    x = 1,754,667.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.