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Finding the Third Proportional to 141,309 and 212,267

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Solution

The third proportional to 141,309 and 212,267 is: 318,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,309 : 212,267 = 212,267 : x
  2. Step 2: Convert to fraction form
    141,309/212,267 = 212,267/x
  3. Step 3: Cross multiply
    141,309x = 212,267 × 212,267
  4. Step 4: Simplify right side
    141,309x = 45,057,279,289
  5. Step 5: Solve for x
    x = 45,057,279,289/141,309
  6. Step 6: Final answer
    x = 318,856.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.