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Finding the Third Proportional to 218,780 and 452,742

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Solution

The third proportional to 218,780 and 452,742 is: 936,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,780 : 452,742 = 452,742 : x
  2. Step 2: Convert to fraction form
    218,780/452,742 = 452,742/x
  3. Step 3: Cross multiply
    218,780x = 452,742 × 452,742
  4. Step 4: Simplify right side
    218,780x = 204,975,318,564
  5. Step 5: Solve for x
    x = 204,975,318,564/218,780
  6. Step 6: Final answer
    x = 936,901.54

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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.