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Finding the Third Proportional to 275,521.50 and 421,186.50

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Solution

The third proportional to 275,521.50 and 421,186.50 is: 643,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,521.50 : 421,186.50 = 421,186.50 : x
  2. Step 2: Convert to fraction form
    275,521.50/421,186.50 = 421,186.50/x
  3. Step 3: Cross multiply
    275,521.50x = 421,186.50 × 421,186.50
  4. Step 4: Simplify right side
    275,521.50x = 177,398,067,782.25
  5. Step 5: Solve for x
    x = 177,398,067,782.25/275,521.50
  6. Step 6: Final answer
    x = 643,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.