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Finding the Third Proportional to 205,078 and 442,868

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Solution

The third proportional to 205,078 and 442,868 is: 956,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078 : 442,868 = 442,868 : x
  2. Step 2: Convert to fraction form
    205,078/442,868 = 442,868/x
  3. Step 3: Cross multiply
    205,078x = 442,868 × 442,868
  4. Step 4: Simplify right side
    205,078x = 196,132,065,424
  5. Step 5: Solve for x
    x = 196,132,065,424/205,078
  6. Step 6: Final answer
    x = 956,377.89

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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.