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Finding the Third Proportional to 177.50 and 455.75

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Solution

The third proportional to 177.50 and 455.75 is: 1,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 455.75 = 455.75 : x
  2. Step 2: Convert to fraction form
    177.50/455.75 = 455.75/x
  3. Step 3: Cross multiply
    177.50x = 455.75 × 455.75
  4. Step 4: Simplify right side
    177.50x = 207,708.06
  5. Step 5: Solve for x
    x = 207,708.06/177.50
  6. Step 6: Final answer
    x = 1,170.19

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.