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Finding the Third Proportional to 408,138.75 and 634,351.50

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Solution

The third proportional to 408,138.75 and 634,351.50 is: 985,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,138.75 : 634,351.50 = 634,351.50 : x
  2. Step 2: Convert to fraction form
    408,138.75/634,351.50 = 634,351.50/x
  3. Step 3: Cross multiply
    408,138.75x = 634,351.50 × 634,351.50
  4. Step 4: Simplify right side
    408,138.75x = 402,401,825,552.25
  5. Step 5: Solve for x
    x = 402,401,825,552.25/408,138.75
  6. Step 6: Final answer
    x = 985,943.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.