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Finding the Third Proportional to 543,847.50 and 819,067.50

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Solution

The third proportional to 543,847.50 and 819,067.50 is: 1,233,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,847.50 : 819,067.50 = 819,067.50 : x
  2. Step 2: Convert to fraction form
    543,847.50/819,067.50 = 819,067.50/x
  3. Step 3: Cross multiply
    543,847.50x = 819,067.50 × 819,067.50
  4. Step 4: Simplify right side
    543,847.50x = 670,871,569,556.25
  5. Step 5: Solve for x
    x = 670,871,569,556.25/543,847.50
  6. Step 6: Final answer
    x = 1,233,565.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.