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Finding the Third Proportional to 87,124 and 128,133

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Solution

The third proportional to 87,124 and 128,133 is: 188,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,124 : 128,133 = 128,133 : x
  2. Step 2: Convert to fraction form
    87,124/128,133 = 128,133/x
  3. Step 3: Cross multiply
    87,124x = 128,133 × 128,133
  4. Step 4: Simplify right side
    87,124x = 16,418,065,689
  5. Step 5: Solve for x
    x = 16,418,065,689/87,124
  6. Step 6: Final answer
    x = 188,444.81

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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.