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Finding the Third Proportional to 641.43 and 1,352.16

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Solution

The third proportional to 641.43 and 1,352.16 is: 2,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.43 : 1,352.16 = 1,352.16 : x
  2. Step 2: Convert to fraction form
    641.43/1,352.16 = 1,352.16/x
  3. Step 3: Cross multiply
    641.43x = 1,352.16 × 1,352.16
  4. Step 4: Simplify right side
    641.43x = 1,828,342.37
  5. Step 5: Solve for x
    x = 1,828,342.37/641.43
  6. Step 6: Final answer
    x = 2,850.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.