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Finding the Third Proportional to 127.65 and 170.28

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Solution

The third proportional to 127.65 and 170.28 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 170.28 = 170.28 : x
  2. Step 2: Convert to fraction form
    127.65/170.28 = 170.28/x
  3. Step 3: Cross multiply
    127.65x = 170.28 × 170.28
  4. Step 4: Simplify right side
    127.65x = 28,995.04
  5. Step 5: Solve for x
    x = 28,995.04/127.65
  6. Step 6: Final answer
    x = 227.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.