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Finding the Third Proportional to 186,843 and 400,902

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Solution

The third proportional to 186,843 and 400,902 is: 860,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,843 : 400,902 = 400,902 : x
  2. Step 2: Convert to fraction form
    186,843/400,902 = 400,902/x
  3. Step 3: Cross multiply
    186,843x = 400,902 × 400,902
  4. Step 4: Simplify right side
    186,843x = 160,722,413,604
  5. Step 5: Solve for x
    x = 160,722,413,604/186,843
  6. Step 6: Final answer
    x = 860,200.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.