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Finding the Third Proportional to 421.31 and 979.31

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Solution

The third proportional to 421.31 and 979.31 is: 2,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.31 : 979.31 = 979.31 : x
  2. Step 2: Convert to fraction form
    421.31/979.31 = 979.31/x
  3. Step 3: Cross multiply
    421.31x = 979.31 × 979.31
  4. Step 4: Simplify right side
    421.31x = 959,052.97
  5. Step 5: Solve for x
    x = 959,052.97/421.31
  6. Step 6: Final answer
    x = 2,276.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.