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Finding the Third Proportional to 406.13 and 981.88

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Solution

The third proportional to 406.13 and 981.88 is: 2,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 981.88 = 981.88 : x
  2. Step 2: Convert to fraction form
    406.13/981.88 = 981.88/x
  3. Step 3: Cross multiply
    406.13x = 981.88 × 981.88
  4. Step 4: Simplify right side
    406.13x = 964,078.52
  5. Step 5: Solve for x
    x = 964,078.52/406.13
  6. Step 6: Final answer
    x = 2,373.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.