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Finding the Third Proportional to 12,743,722.50 and 18,876,581.25

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Solution

The third proportional to 12,743,722.50 and 18,876,581.25 is: 27,960,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743,722.50 : 18,876,581.25 = 18,876,581.25 : x
  2. Step 2: Convert to fraction form
    12,743,722.50/18,876,581.25 = 18,876,581.25/x
  3. Step 3: Cross multiply
    12,743,722.50x = 18,876,581.25 × 18,876,581.25
  4. Step 4: Simplify right side
    12,743,722.50x = 356,325,319,687,851.56
  5. Step 5: Solve for x
    x = 356,325,319,687,851.56/12,743,722.50
  6. Step 6: Final answer
    x = 27,960,850.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.