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Finding the Third Proportional to 187.13 and 407.13

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Solution

The third proportional to 187.13 and 407.13 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 407.13 = 407.13 : x
  2. Step 2: Convert to fraction form
    187.13/407.13 = 407.13/x
  3. Step 3: Cross multiply
    187.13x = 407.13 × 407.13
  4. Step 4: Simplify right side
    187.13x = 165,750.77
  5. Step 5: Solve for x
    x = 165,750.77/187.13
  6. Step 6: Final answer
    x = 885.78

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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.