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Finding the Third Proportional to 421,837.75 and 928,098

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Solution

The third proportional to 421,837.75 and 928,098 is: 2,041,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,837.75 : 928,098 = 928,098 : x
  2. Step 2: Convert to fraction form
    421,837.75/928,098 = 928,098/x
  3. Step 3: Cross multiply
    421,837.75x = 928,098 × 928,098
  4. Step 4: Simplify right side
    421,837.75x = 861,365,897,604
  5. Step 5: Solve for x
    x = 861,365,897,604/421,837.75
  6. Step 6: Final answer
    x = 2,041,936.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.