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Finding the Third Proportional to 138,552.50 and 297,825

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Solution

The third proportional to 138,552.50 and 297,825 is: 640,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,552.50 : 297,825 = 297,825 : x
  2. Step 2: Convert to fraction form
    138,552.50/297,825 = 297,825/x
  3. Step 3: Cross multiply
    138,552.50x = 297,825 × 297,825
  4. Step 4: Simplify right side
    138,552.50x = 88,699,730,625
  5. Step 5: Solve for x
    x = 88,699,730,625/138,552.50
  6. Step 6: Final answer
    x = 640,188.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.