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Finding the Third Proportional to 186.52 and 407.21

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Solution

The third proportional to 186.52 and 407.21 is: 889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 407.21 = 407.21 : x
  2. Step 2: Convert to fraction form
    186.52/407.21 = 407.21/x
  3. Step 3: Cross multiply
    186.52x = 407.21 × 407.21
  4. Step 4: Simplify right side
    186.52x = 165,823.93
  5. Step 5: Solve for x
    x = 165,823.93/186.52
  6. Step 6: Final answer
    x = 889.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.