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Finding the Third Proportional to 840.38 and 1,952.86

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Solution

The third proportional to 840.38 and 1,952.86 is: 4,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.38 : 1,952.86 = 1,952.86 : x
  2. Step 2: Convert to fraction form
    840.38/1,952.86 = 1,952.86/x
  3. Step 3: Cross multiply
    840.38x = 1,952.86 × 1,952.86
  4. Step 4: Simplify right side
    840.38x = 3,813,659.74
  5. Step 5: Solve for x
    x = 3,813,659.74/840.38
  6. Step 6: Final answer
    x = 4,538.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.