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Finding the Third Proportional to 732.50 and 1,601.75

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Solution

The third proportional to 732.50 and 1,601.75 is: 3,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.50 : 1,601.75 = 1,601.75 : x
  2. Step 2: Convert to fraction form
    732.50/1,601.75 = 1,601.75/x
  3. Step 3: Cross multiply
    732.50x = 1,601.75 × 1,601.75
  4. Step 4: Simplify right side
    732.50x = 2,565,603.06
  5. Step 5: Solve for x
    x = 2,565,603.06/732.50
  6. Step 6: Final answer
    x = 3,502.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.