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Finding the Third Proportional to 89,647.50 and 121,815

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Solution

The third proportional to 89,647.50 and 121,815 is: 165,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,647.50 : 121,815 = 121,815 : x
  2. Step 2: Convert to fraction form
    89,647.50/121,815 = 121,815/x
  3. Step 3: Cross multiply
    89,647.50x = 121,815 × 121,815
  4. Step 4: Simplify right side
    89,647.50x = 14,838,894,225
  5. Step 5: Solve for x
    x = 14,838,894,225/89,647.50
  6. Step 6: Final answer
    x = 165,524.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.