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Finding the Third Proportional to 141,720 and 212,228

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Solution

The third proportional to 141,720 and 212,228 is: 317,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,720 : 212,228 = 212,228 : x
  2. Step 2: Convert to fraction form
    141,720/212,228 = 212,228/x
  3. Step 3: Cross multiply
    141,720x = 212,228 × 212,228
  4. Step 4: Simplify right side
    141,720x = 45,040,723,984
  5. Step 5: Solve for x
    x = 45,040,723,984/141,720
  6. Step 6: Final answer
    x = 317,814.87

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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.