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Finding the Third Proportional to 205,780 and 449,432

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Solution

The third proportional to 205,780 and 449,432 is: 981,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,780 : 449,432 = 449,432 : x
  2. Step 2: Convert to fraction form
    205,780/449,432 = 449,432/x
  3. Step 3: Cross multiply
    205,780x = 449,432 × 449,432
  4. Step 4: Simplify right side
    205,780x = 201,989,122,624
  5. Step 5: Solve for x
    x = 201,989,122,624/205,780
  6. Step 6: Final answer
    x = 981,578.01

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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.