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Finding the Third Proportional to 2,652.75 and 3,901.50

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Solution

The third proportional to 2,652.75 and 3,901.50 is: 5,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.75 : 3,901.50 = 3,901.50 : x
  2. Step 2: Convert to fraction form
    2,652.75/3,901.50 = 3,901.50/x
  3. Step 3: Cross multiply
    2,652.75x = 3,901.50 × 3,901.50
  4. Step 4: Simplify right side
    2,652.75x = 15,221,702.25
  5. Step 5: Solve for x
    x = 15,221,702.25/2,652.75
  6. Step 6: Final answer
    x = 5,738.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.