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Finding the Third Proportional to 2,632 and 6,077.50

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Solution

The third proportional to 2,632 and 6,077.50 is: 14,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632 : 6,077.50 = 6,077.50 : x
  2. Step 2: Convert to fraction form
    2,632/6,077.50 = 6,077.50/x
  3. Step 3: Cross multiply
    2,632x = 6,077.50 × 6,077.50
  4. Step 4: Simplify right side
    2,632x = 36,936,006.25
  5. Step 5: Solve for x
    x = 36,936,006.25/2,632
  6. Step 6: Final answer
    x = 14,033.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.