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Finding the Third Proportional to 74.04 and 91.13

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Solution

The third proportional to 74.04 and 91.13 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 91.13 = 91.13 : x
  2. Step 2: Convert to fraction form
    74.04/91.13 = 91.13/x
  3. Step 3: Cross multiply
    74.04x = 91.13 × 91.13
  4. Step 4: Simplify right side
    74.04x = 8,303.77
  5. Step 5: Solve for x
    x = 8,303.77/74.04
  6. Step 6: Final answer
    x = 112.15

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.