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Finding the Third Proportional to 186.34 and 400.81

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Solution

The third proportional to 186.34 and 400.81 is: 862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 400.81 = 400.81 : x
  2. Step 2: Convert to fraction form
    186.34/400.81 = 400.81/x
  3. Step 3: Cross multiply
    186.34x = 400.81 × 400.81
  4. Step 4: Simplify right side
    186.34x = 160,646.75
  5. Step 5: Solve for x
    x = 160,646.75/186.34
  6. Step 6: Final answer
    x = 862.10

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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.