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Finding the Third Proportional to 218,774 and 452,731

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Solution

The third proportional to 218,774 and 452,731 is: 936,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,774 : 452,731 = 452,731 : x
  2. Step 2: Convert to fraction form
    218,774/452,731 = 452,731/x
  3. Step 3: Cross multiply
    218,774x = 452,731 × 452,731
  4. Step 4: Simplify right side
    218,774x = 204,965,358,361
  5. Step 5: Solve for x
    x = 204,965,358,361/218,774
  6. Step 6: Final answer
    x = 936,881.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.