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Finding the Third Proportional to 144,412 and 312,876

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Solution

The third proportional to 144,412 and 312,876 is: 677,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,412 : 312,876 = 312,876 : x
  2. Step 2: Convert to fraction form
    144,412/312,876 = 312,876/x
  3. Step 3: Cross multiply
    144,412x = 312,876 × 312,876
  4. Step 4: Simplify right side
    144,412x = 97,891,391,376
  5. Step 5: Solve for x
    x = 97,891,391,376/144,412
  6. Step 6: Final answer
    x = 677,861.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.