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Finding the Third Proportional to 398,812 and 867,604

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Solution

The third proportional to 398,812 and 867,604 is: 1,887,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,812 : 867,604 = 867,604 : x
  2. Step 2: Convert to fraction form
    398,812/867,604 = 867,604/x
  3. Step 3: Cross multiply
    398,812x = 867,604 × 867,604
  4. Step 4: Simplify right side
    398,812x = 752,736,700,816
  5. Step 5: Solve for x
    x = 752,736,700,816/398,812
  6. Step 6: Final answer
    x = 1,887,447.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.