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Finding the Third Proportional to 1,642.78 and 2,471.77

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Solution

The third proportional to 1,642.78 and 2,471.77 is: 3,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.78 : 2,471.77 = 2,471.77 : x
  2. Step 2: Convert to fraction form
    1,642.78/2,471.77 = 2,471.77/x
  3. Step 3: Cross multiply
    1,642.78x = 2,471.77 × 2,471.77
  4. Step 4: Simplify right side
    1,642.78x = 6,109,625.30
  5. Step 5: Solve for x
    x = 6,109,625.30/1,642.78
  6. Step 6: Final answer
    x = 3,719.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.