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Finding the Third Proportional to 78 and 133.13

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Solution

The third proportional to 78 and 133.13 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 133.13 = 133.13 : x
  2. Step 2: Convert to fraction form
    78/133.13 = 133.13/x
  3. Step 3: Cross multiply
    78x = 133.13 × 133.13
  4. Step 4: Simplify right side
    78x = 17,722.27
  5. Step 5: Solve for x
    x = 17,722.27/78
  6. Step 6: Final answer
    x = 227.21

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.