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Finding the Third Proportional to 820.97 and 974.74

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Solution

The third proportional to 820.97 and 974.74 is: 1,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.97 : 974.74 = 974.74 : x
  2. Step 2: Convert to fraction form
    820.97/974.74 = 974.74/x
  3. Step 3: Cross multiply
    820.97x = 974.74 × 974.74
  4. Step 4: Simplify right side
    820.97x = 950,122.33
  5. Step 5: Solve for x
    x = 950,122.33/820.97
  6. Step 6: Final answer
    x = 1,157.32

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.