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Finding the Third Proportional to 207,199 and 453,920

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Solution

The third proportional to 207,199 and 453,920 is: 994,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,199 : 453,920 = 453,920 : x
  2. Step 2: Convert to fraction form
    207,199/453,920 = 453,920/x
  3. Step 3: Cross multiply
    207,199x = 453,920 × 453,920
  4. Step 4: Simplify right side
    207,199x = 206,043,366,400
  5. Step 5: Solve for x
    x = 206,043,366,400/207,199
  6. Step 6: Final answer
    x = 994,422.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.