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Finding the Third Proportional to 2,045.75 and 3,251.50

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Solution

The third proportional to 2,045.75 and 3,251.50 is: 5,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.75 : 3,251.50 = 3,251.50 : x
  2. Step 2: Convert to fraction form
    2,045.75/3,251.50 = 3,251.50/x
  3. Step 3: Cross multiply
    2,045.75x = 3,251.50 × 3,251.50
  4. Step 4: Simplify right side
    2,045.75x = 10,572,252.25
  5. Step 5: Solve for x
    x = 10,572,252.25/2,045.75
  6. Step 6: Final answer
    x = 5,167.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.