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Finding the Third Proportional to 128,787 and 269,331

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Solution

The third proportional to 128,787 and 269,331 is: 563,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,787 : 269,331 = 269,331 : x
  2. Step 2: Convert to fraction form
    128,787/269,331 = 269,331/x
  3. Step 3: Cross multiply
    128,787x = 269,331 × 269,331
  4. Step 4: Simplify right side
    128,787x = 72,539,187,561
  5. Step 5: Solve for x
    x = 72,539,187,561/128,787
  6. Step 6: Final answer
    x = 563,249.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.