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Finding the Third Proportional to 195,002 and 421,987

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Solution

The third proportional to 195,002 and 421,987 is: 913,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,002 : 421,987 = 421,987 : x
  2. Step 2: Convert to fraction form
    195,002/421,987 = 421,987/x
  3. Step 3: Cross multiply
    195,002x = 421,987 × 421,987
  4. Step 4: Simplify right side
    195,002x = 178,073,028,169
  5. Step 5: Solve for x
    x = 178,073,028,169/195,002
  6. Step 6: Final answer
    x = 913,185.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.