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Finding the Third Proportional to 74.06 and 117.28

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Solution

The third proportional to 74.06 and 117.28 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 117.28 = 117.28 : x
  2. Step 2: Convert to fraction form
    74.06/117.28 = 117.28/x
  3. Step 3: Cross multiply
    74.06x = 117.28 × 117.28
  4. Step 4: Simplify right side
    74.06x = 13,754.89
  5. Step 5: Solve for x
    x = 13,754.89/74.06
  6. Step 6: Final answer
    x = 185.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.