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Finding the Third Proportional to 185,485 and 399,769

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Solution

The third proportional to 185,485 and 399,769 is: 861,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,485 : 399,769 = 399,769 : x
  2. Step 2: Convert to fraction form
    185,485/399,769 = 399,769/x
  3. Step 3: Cross multiply
    185,485x = 399,769 × 399,769
  4. Step 4: Simplify right side
    185,485x = 159,815,253,361
  5. Step 5: Solve for x
    x = 159,815,253,361/185,485
  6. Step 6: Final answer
    x = 861,607.43

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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.