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Finding the Third Proportional to 840.16 and 1,659.66

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Solution

The third proportional to 840.16 and 1,659.66 is: 3,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.16 : 1,659.66 = 1,659.66 : x
  2. Step 2: Convert to fraction form
    840.16/1,659.66 = 1,659.66/x
  3. Step 3: Cross multiply
    840.16x = 1,659.66 × 1,659.66
  4. Step 4: Simplify right side
    840.16x = 2,754,458.87
  5. Step 5: Solve for x
    x = 2,754,458.87/840.16
  6. Step 6: Final answer
    x = 3,278.48

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.