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Finding the Third Proportional to 128,387 and 286,279

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Solution

The third proportional to 128,387 and 286,279 is: 638,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,387 : 286,279 = 286,279 : x
  2. Step 2: Convert to fraction form
    128,387/286,279 = 286,279/x
  3. Step 3: Cross multiply
    128,387x = 286,279 × 286,279
  4. Step 4: Simplify right side
    128,387x = 81,955,665,841
  5. Step 5: Solve for x
    x = 81,955,665,841/128,387
  6. Step 6: Final answer
    x = 638,348.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.