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Finding the Third Proportional to 708.19 and 992.53

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Solution

The third proportional to 708.19 and 992.53 is: 1,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 992.53 = 992.53 : x
  2. Step 2: Convert to fraction form
    708.19/992.53 = 992.53/x
  3. Step 3: Cross multiply
    708.19x = 992.53 × 992.53
  4. Step 4: Simplify right side
    708.19x = 985,118.28
  5. Step 5: Solve for x
    x = 985,118.28/708.19
  6. Step 6: Final answer
    x = 1,391.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.