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Finding the Third Proportional to 186,987 and 400,542

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Solution

The third proportional to 186,987 and 400,542 is: 857,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987 : 400,542 = 400,542 : x
  2. Step 2: Convert to fraction form
    186,987/400,542 = 400,542/x
  3. Step 3: Cross multiply
    186,987x = 400,542 × 400,542
  4. Step 4: Simplify right side
    186,987x = 160,433,893,764
  5. Step 5: Solve for x
    x = 160,433,893,764/186,987
  6. Step 6: Final answer
    x = 857,994.91

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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.