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Finding the Third Proportional to 424.75 and 981.88

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Solution

The third proportional to 424.75 and 981.88 is: 2,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.75 : 981.88 = 981.88 : x
  2. Step 2: Convert to fraction form
    424.75/981.88 = 981.88/x
  3. Step 3: Cross multiply
    424.75x = 981.88 × 981.88
  4. Step 4: Simplify right side
    424.75x = 964,078.52
  5. Step 5: Solve for x
    x = 964,078.52/424.75
  6. Step 6: Final answer
    x = 2,269.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.