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Finding the Third Proportional to 199,746 and 428,868

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Solution

The third proportional to 199,746 and 428,868 is: 920,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,746 : 428,868 = 428,868 : x
  2. Step 2: Convert to fraction form
    199,746/428,868 = 428,868/x
  3. Step 3: Cross multiply
    199,746x = 428,868 × 428,868
  4. Step 4: Simplify right side
    199,746x = 183,927,761,424
  5. Step 5: Solve for x
    x = 183,927,761,424/199,746
  6. Step 6: Final answer
    x = 920,808.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.