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Finding the Third Proportional to 195,000 and 421,983

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Solution

The third proportional to 195,000 and 421,983 is: 913,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,000 : 421,983 = 421,983 : x
  2. Step 2: Convert to fraction form
    195,000/421,983 = 421,983/x
  3. Step 3: Cross multiply
    195,000x = 421,983 × 421,983
  4. Step 4: Simplify right side
    195,000x = 178,069,652,289
  5. Step 5: Solve for x
    x = 178,069,652,289/195,000
  6. Step 6: Final answer
    x = 913,177.70

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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.