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Finding the Third Proportional to 89,217.50 and 128,237

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Solution

The third proportional to 89,217.50 and 128,237 is: 184,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,217.50 : 128,237 = 128,237 : x
  2. Step 2: Convert to fraction form
    89,217.50/128,237 = 128,237/x
  3. Step 3: Cross multiply
    89,217.50x = 128,237 × 128,237
  4. Step 4: Simplify right side
    89,217.50x = 16,444,728,169
  5. Step 5: Solve for x
    x = 16,444,728,169/89,217.50
  6. Step 6: Final answer
    x = 184,321.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.