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Finding the Third Proportional to 141,891 and 212,446

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Solution

The third proportional to 141,891 and 212,446 is: 318,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,891 : 212,446 = 212,446 : x
  2. Step 2: Convert to fraction form
    141,891/212,446 = 212,446/x
  3. Step 3: Cross multiply
    141,891x = 212,446 × 212,446
  4. Step 4: Simplify right side
    141,891x = 45,133,302,916
  5. Step 5: Solve for x
    x = 45,133,302,916/141,891
  6. Step 6: Final answer
    x = 318,084.32

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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.