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Finding the Third Proportional to 976.25 and 1,391.34

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Solution

The third proportional to 976.25 and 1,391.34 is: 1,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.25 : 1,391.34 = 1,391.34 : x
  2. Step 2: Convert to fraction form
    976.25/1,391.34 = 1,391.34/x
  3. Step 3: Cross multiply
    976.25x = 1,391.34 × 1,391.34
  4. Step 4: Simplify right side
    976.25x = 1,935,837.43
  5. Step 5: Solve for x
    x = 1,935,837.43/976.25
  6. Step 6: Final answer
    x = 1,982.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.