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Finding the Third Proportional to 295,885 and 638,981

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Solution

The third proportional to 295,885 and 638,981 is: 1,379,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,885 : 638,981 = 638,981 : x
  2. Step 2: Convert to fraction form
    295,885/638,981 = 638,981/x
  3. Step 3: Cross multiply
    295,885x = 638,981 × 638,981
  4. Step 4: Simplify right side
    295,885x = 408,296,718,361
  5. Step 5: Solve for x
    x = 408,296,718,361/295,885
  6. Step 6: Final answer
    x = 1,379,916.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.