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Finding the Third Proportional to 298,431 and 421,867.50

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Solution

The third proportional to 298,431 and 421,867.50 is: 596,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,431 : 421,867.50 = 421,867.50 : x
  2. Step 2: Convert to fraction form
    298,431/421,867.50 = 421,867.50/x
  3. Step 3: Cross multiply
    298,431x = 421,867.50 × 421,867.50
  4. Step 4: Simplify right side
    298,431x = 177,972,187,556.25
  5. Step 5: Solve for x
    x = 177,972,187,556.25/298,431
  6. Step 6: Final answer
    x = 596,359.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.