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Finding the Third Proportional to 74.16 and 114.68

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Solution

The third proportional to 74.16 and 114.68 is: 177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 114.68 = 114.68 : x
  2. Step 2: Convert to fraction form
    74.16/114.68 = 114.68/x
  3. Step 3: Cross multiply
    74.16x = 114.68 × 114.68
  4. Step 4: Simplify right side
    74.16x = 13,151.43
  5. Step 5: Solve for x
    x = 13,151.43/74.16
  6. Step 6: Final answer
    x = 177.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.