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Finding the Third Proportional to 146,217 and 318,876

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Solution

The third proportional to 146,217 and 318,876 is: 695,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,217 : 318,876 = 318,876 : x
  2. Step 2: Convert to fraction form
    146,217/318,876 = 318,876/x
  3. Step 3: Cross multiply
    146,217x = 318,876 × 318,876
  4. Step 4: Simplify right side
    146,217x = 101,681,903,376
  5. Step 5: Solve for x
    x = 101,681,903,376/146,217
  6. Step 6: Final answer
    x = 695,417.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.