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Finding the Third Proportional to 12,761 and 18,763.50

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Solution

The third proportional to 12,761 and 18,763.50 is: 27,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761 : 18,763.50 = 18,763.50 : x
  2. Step 2: Convert to fraction form
    12,761/18,763.50 = 18,763.50/x
  3. Step 3: Cross multiply
    12,761x = 18,763.50 × 18,763.50
  4. Step 4: Simplify right side
    12,761x = 352,068,932.25
  5. Step 5: Solve for x
    x = 352,068,932.25/12,761
  6. Step 6: Final answer
    x = 27,589.45

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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.