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Finding the Third Proportional to 207,656 and 312,876

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Solution

The third proportional to 207,656 and 312,876 is: 471,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,656 : 312,876 = 312,876 : x
  2. Step 2: Convert to fraction form
    207,656/312,876 = 312,876/x
  3. Step 3: Cross multiply
    207,656x = 312,876 × 312,876
  4. Step 4: Simplify right side
    207,656x = 97,891,391,376
  5. Step 5: Solve for x
    x = 97,891,391,376/207,656
  6. Step 6: Final answer
    x = 471,411.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.