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Finding the Third Proportional to 658.23 and 991.51

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Solution

The third proportional to 658.23 and 991.51 is: 1,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.23 : 991.51 = 991.51 : x
  2. Step 2: Convert to fraction form
    658.23/991.51 = 991.51/x
  3. Step 3: Cross multiply
    658.23x = 991.51 × 991.51
  4. Step 4: Simplify right side
    658.23x = 983,095.49
  5. Step 5: Solve for x
    x = 983,095.49/658.23
  6. Step 6: Final answer
    x = 1,493.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.