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Finding the Third Proportional to 195,627 and 428,757

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Solution

The third proportional to 195,627 and 428,757 is: 939,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,627 : 428,757 = 428,757 : x
  2. Step 2: Convert to fraction form
    195,627/428,757 = 428,757/x
  3. Step 3: Cross multiply
    195,627x = 428,757 × 428,757
  4. Step 4: Simplify right side
    195,627x = 183,832,565,049
  5. Step 5: Solve for x
    x = 183,832,565,049/195,627
  6. Step 6: Final answer
    x = 939,709.58

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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.