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Finding the Third Proportional to 437.63 and 676.31

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Solution

The third proportional to 437.63 and 676.31 is: 1,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.63 : 676.31 = 676.31 : x
  2. Step 2: Convert to fraction form
    437.63/676.31 = 676.31/x
  3. Step 3: Cross multiply
    437.63x = 676.31 × 676.31
  4. Step 4: Simplify right side
    437.63x = 457,398.60
  5. Step 5: Solve for x
    x = 457,398.60/437.63
  6. Step 6: Final answer
    x = 1,045.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.