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Finding the Third Proportional to 641.44 and 1,385.20

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Solution

The third proportional to 641.44 and 1,385.20 is: 2,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 1,385.20 = 1,385.20 : x
  2. Step 2: Convert to fraction form
    641.44/1,385.20 = 1,385.20/x
  3. Step 3: Cross multiply
    641.44x = 1,385.20 × 1,385.20
  4. Step 4: Simplify right side
    641.44x = 1,918,787.70
  5. Step 5: Solve for x
    x = 1,918,787.70/641.44
  6. Step 6: Final answer
    x = 2,991.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.