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Finding the Third Proportional to 199,959 and 433,815

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Solution

The third proportional to 199,959 and 433,815 is: 941,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,959 : 433,815 = 433,815 : x
  2. Step 2: Convert to fraction form
    199,959/433,815 = 433,815/x
  3. Step 3: Cross multiply
    199,959x = 433,815 × 433,815
  4. Step 4: Simplify right side
    199,959x = 188,195,454,225
  5. Step 5: Solve for x
    x = 188,195,454,225/199,959
  6. Step 6: Final answer
    x = 941,170.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.