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Finding the Third Proportional to 1,557.11 and 2,331.39

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Solution

The third proportional to 1,557.11 and 2,331.39 is: 3,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.11 : 2,331.39 = 2,331.39 : x
  2. Step 2: Convert to fraction form
    1,557.11/2,331.39 = 2,331.39/x
  3. Step 3: Cross multiply
    1,557.11x = 2,331.39 × 2,331.39
  4. Step 4: Simplify right side
    1,557.11x = 5,435,364.03
  5. Step 5: Solve for x
    x = 5,435,364.03/1,557.11
  6. Step 6: Final answer
    x = 3,490.68

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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.