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Finding the Third Proportional to 186.61 and 404.02

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Solution

The third proportional to 186.61 and 404.02 is: 874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.61 : 404.02 = 404.02 : x
  2. Step 2: Convert to fraction form
    186.61/404.02 = 404.02/x
  3. Step 3: Cross multiply
    186.61x = 404.02 × 404.02
  4. Step 4: Simplify right side
    186.61x = 163,228.63
  5. Step 5: Solve for x
    x = 163,228.63/186.61
  6. Step 6: Final answer
    x = 874.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.