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Finding the Third Proportional to 80,625 and 121,018.50

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Solution

The third proportional to 80,625 and 121,018.50 is: 181,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,625 : 121,018.50 = 121,018.50 : x
  2. Step 2: Convert to fraction form
    80,625/121,018.50 = 121,018.50/x
  3. Step 3: Cross multiply
    80,625x = 121,018.50 × 121,018.50
  4. Step 4: Simplify right side
    80,625x = 14,645,477,342.25
  5. Step 5: Solve for x
    x = 14,645,477,342.25/80,625
  6. Step 6: Final answer
    x = 181,649.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.