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Finding the Third Proportional to 299,586 and 421,387.50

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Solution

The third proportional to 299,586 and 421,387.50 is: 592,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,586 : 421,387.50 = 421,387.50 : x
  2. Step 2: Convert to fraction form
    299,586/421,387.50 = 421,387.50/x
  3. Step 3: Cross multiply
    299,586x = 421,387.50 × 421,387.50
  4. Step 4: Simplify right side
    299,586x = 177,567,425,156.25
  5. Step 5: Solve for x
    x = 177,567,425,156.25/299,586
  6. Step 6: Final answer
    x = 592,709.36

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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.