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Finding the Third Proportional to 578,676 and 867,432

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Solution

The third proportional to 578,676 and 867,432 is: 1,300,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,676 : 867,432 = 867,432 : x
  2. Step 2: Convert to fraction form
    578,676/867,432 = 867,432/x
  3. Step 3: Cross multiply
    578,676x = 867,432 × 867,432
  4. Step 4: Simplify right side
    578,676x = 752,438,274,624
  5. Step 5: Solve for x
    x = 752,438,274,624/578,676
  6. Step 6: Final answer
    x = 1,300,275.59

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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.