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Finding the Third Proportional to 982.97 and 1,440.28

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Solution

The third proportional to 982.97 and 1,440.28 is: 2,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.97 : 1,440.28 = 1,440.28 : x
  2. Step 2: Convert to fraction form
    982.97/1,440.28 = 1,440.28/x
  3. Step 3: Cross multiply
    982.97x = 1,440.28 × 1,440.28
  4. Step 4: Simplify right side
    982.97x = 2,074,410.08
  5. Step 5: Solve for x
    x = 2,074,410.08/982.97
  6. Step 6: Final answer
    x = 2,110.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.