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Finding the Third Proportional to 74.83 and 83.71

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Solution

The third proportional to 74.83 and 83.71 is: 93.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.83 : 83.71 = 83.71 : x
  2. Step 2: Convert to fraction form
    74.83/83.71 = 83.71/x
  3. Step 3: Cross multiply
    74.83x = 83.71 × 83.71
  4. Step 4: Simplify right side
    74.83x = 7,006.67
  5. Step 5: Solve for x
    x = 7,006.67/74.83
  6. Step 6: Final answer
    x = 93.64

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.