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Finding the Third Proportional to 1,235.39 and 2,659.68

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Solution

The third proportional to 1,235.39 and 2,659.68 is: 5,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.39 : 2,659.68 = 2,659.68 : x
  2. Step 2: Convert to fraction form
    1,235.39/2,659.68 = 2,659.68/x
  3. Step 3: Cross multiply
    1,235.39x = 2,659.68 × 2,659.68
  4. Step 4: Simplify right side
    1,235.39x = 7,073,875.26
  5. Step 5: Solve for x
    x = 7,073,875.26/1,235.39
  6. Step 6: Final answer
    x = 5,726.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.