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Finding the Third Proportional to 5,640.50 and 13,000.25

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Solution

The third proportional to 5,640.50 and 13,000.25 is: 29,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.50 : 13,000.25 = 13,000.25 : x
  2. Step 2: Convert to fraction form
    5,640.50/13,000.25 = 13,000.25/x
  3. Step 3: Cross multiply
    5,640.50x = 13,000.25 × 13,000.25
  4. Step 4: Simplify right side
    5,640.50x = 169,006,500.06
  5. Step 5: Solve for x
    x = 169,006,500.06/5,640.50
  6. Step 6: Final answer
    x = 29,963.04

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.