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Finding the Third Proportional to 438.47 and 682.31

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Solution

The third proportional to 438.47 and 682.31 is: 1,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.47 : 682.31 = 682.31 : x
  2. Step 2: Convert to fraction form
    438.47/682.31 = 682.31/x
  3. Step 3: Cross multiply
    438.47x = 682.31 × 682.31
  4. Step 4: Simplify right side
    438.47x = 465,550.35
  5. Step 5: Solve for x
    x = 465,550.35/438.47
  6. Step 6: Final answer
    x = 1,061.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.