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Finding the Third Proportional to 127.23 and 278.84

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Solution

The third proportional to 127.23 and 278.84 is: 611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.23 : 278.84 = 278.84 : x
  2. Step 2: Convert to fraction form
    127.23/278.84 = 278.84/x
  3. Step 3: Cross multiply
    127.23x = 278.84 × 278.84
  4. Step 4: Simplify right side
    127.23x = 77,753.84
  5. Step 5: Solve for x
    x = 77,753.84/127.23
  6. Step 6: Final answer
    x = 611.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.