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Finding the Third Proportional to 840.38 and 1,254.23

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Solution

The third proportional to 840.38 and 1,254.23 is: 1,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.38 : 1,254.23 = 1,254.23 : x
  2. Step 2: Convert to fraction form
    840.38/1,254.23 = 1,254.23/x
  3. Step 3: Cross multiply
    840.38x = 1,254.23 × 1,254.23
  4. Step 4: Simplify right side
    840.38x = 1,573,103.87
  5. Step 5: Solve for x
    x = 1,573,103.87/840.38
  6. Step 6: Final answer
    x = 1,871.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.