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Finding the Third Proportional to 12,755 and 18,743.50

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Solution

The third proportional to 12,755 and 18,743.50 is: 27,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755 : 18,743.50 = 18,743.50 : x
  2. Step 2: Convert to fraction form
    12,755/18,743.50 = 18,743.50/x
  3. Step 3: Cross multiply
    12,755x = 18,743.50 × 18,743.50
  4. Step 4: Simplify right side
    12,755x = 351,318,792.25
  5. Step 5: Solve for x
    x = 351,318,792.25/12,755
  6. Step 6: Final answer
    x = 27,543.61

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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.