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Finding the Third Proportional to 128,386 and 187,825

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Solution

The third proportional to 128,386 and 187,825 is: 274,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,386 : 187,825 = 187,825 : x
  2. Step 2: Convert to fraction form
    128,386/187,825 = 187,825/x
  3. Step 3: Cross multiply
    128,386x = 187,825 × 187,825
  4. Step 4: Simplify right side
    128,386x = 35,278,230,625
  5. Step 5: Solve for x
    x = 35,278,230,625/128,386
  6. Step 6: Final answer
    x = 274,782.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.