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Finding the Third Proportional to 1,864.27 and 2,557.20

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Solution

The third proportional to 1,864.27 and 2,557.20 is: 3,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.27 : 2,557.20 = 2,557.20 : x
  2. Step 2: Convert to fraction form
    1,864.27/2,557.20 = 2,557.20/x
  3. Step 3: Cross multiply
    1,864.27x = 2,557.20 × 2,557.20
  4. Step 4: Simplify right side
    1,864.27x = 6,539,247.87
  5. Step 5: Solve for x
    x = 6,539,247.87/1,864.27
  6. Step 6: Final answer
    x = 3,507.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.