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Finding the Third Proportional to 195,469 and 428,307

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Solution

The third proportional to 195,469 and 428,307 is: 938,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,469 : 428,307 = 428,307 : x
  2. Step 2: Convert to fraction form
    195,469/428,307 = 428,307/x
  3. Step 3: Cross multiply
    195,469x = 428,307 × 428,307
  4. Step 4: Simplify right side
    195,469x = 183,446,886,249
  5. Step 5: Solve for x
    x = 183,446,886,249/195,469
  6. Step 6: Final answer
    x = 938,496.06

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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.