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Finding the Third Proportional to 186,200 and 398,643

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Solution

The third proportional to 186,200 and 398,643 is: 853,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,200 : 398,643 = 398,643 : x
  2. Step 2: Convert to fraction form
    186,200/398,643 = 398,643/x
  3. Step 3: Cross multiply
    186,200x = 398,643 × 398,643
  4. Step 4: Simplify right side
    186,200x = 158,916,241,449
  5. Step 5: Solve for x
    x = 158,916,241,449/186,200
  6. Step 6: Final answer
    x = 853,470.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.