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Finding the Third Proportional to 259,221 and 381,216

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Solution

The third proportional to 259,221 and 381,216 is: 560,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,221 : 381,216 = 381,216 : x
  2. Step 2: Convert to fraction form
    259,221/381,216 = 381,216/x
  3. Step 3: Cross multiply
    259,221x = 381,216 × 381,216
  4. Step 4: Simplify right side
    259,221x = 145,325,638,656
  5. Step 5: Solve for x
    x = 145,325,638,656/259,221
  6. Step 6: Final answer
    x = 560,624.48

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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.