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Finding the Third Proportional to 641.06 and 1,659.19

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Solution

The third proportional to 641.06 and 1,659.19 is: 4,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.06 : 1,659.19 = 1,659.19 : x
  2. Step 2: Convert to fraction form
    641.06/1,659.19 = 1,659.19/x
  3. Step 3: Cross multiply
    641.06x = 1,659.19 × 1,659.19
  4. Step 4: Simplify right side
    641.06x = 2,752,903.16
  5. Step 5: Solve for x
    x = 2,752,903.16/641.06
  6. Step 6: Final answer
    x = 4,294.28

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.