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Finding the Third Proportional to 128,363 and 286,241

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Solution

The third proportional to 128,363 and 286,241 is: 638,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,363 : 286,241 = 286,241 : x
  2. Step 2: Convert to fraction form
    128,363/286,241 = 286,241/x
  3. Step 3: Cross multiply
    128,363x = 286,241 × 286,241
  4. Step 4: Simplify right side
    128,363x = 81,933,910,081
  5. Step 5: Solve for x
    x = 81,933,910,081/128,363
  6. Step 6: Final answer
    x = 638,298.50

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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.