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Finding the Third Proportional to 87,426.75 and 128,271

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Solution

The third proportional to 87,426.75 and 128,271 is: 188,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,426.75 : 128,271 = 128,271 : x
  2. Step 2: Convert to fraction form
    87,426.75/128,271 = 128,271/x
  3. Step 3: Cross multiply
    87,426.75x = 128,271 × 128,271
  4. Step 4: Simplify right side
    87,426.75x = 16,453,449,441
  5. Step 5: Solve for x
    x = 16,453,449,441/87,426.75
  6. Step 6: Final answer
    x = 188,196.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.