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Finding the Third Proportional to 127.04 and 278.41

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Solution

The third proportional to 127.04 and 278.41 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.04 : 278.41 = 278.41 : x
  2. Step 2: Convert to fraction form
    127.04/278.41 = 278.41/x
  3. Step 3: Cross multiply
    127.04x = 278.41 × 278.41
  4. Step 4: Simplify right side
    127.04x = 77,514.36
  5. Step 5: Solve for x
    x = 77,514.36/127.04
  6. Step 6: Final answer
    x = 610.14

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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.