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Finding the Third Proportional to 398,802 and 867,588

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Solution

The third proportional to 398,802 and 867,588 is: 1,887,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,802 : 867,588 = 867,588 : x
  2. Step 2: Convert to fraction form
    398,802/867,588 = 867,588/x
  3. Step 3: Cross multiply
    398,802x = 867,588 × 867,588
  4. Step 4: Simplify right side
    398,802x = 752,708,937,744
  5. Step 5: Solve for x
    x = 752,708,937,744/398,802
  6. Step 6: Final answer
    x = 1,887,425.18

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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.