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Finding the Third Proportional to 201,538 and 442,818

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Solution

The third proportional to 201,538 and 442,818 is: 972,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538 : 442,818 = 442,818 : x
  2. Step 2: Convert to fraction form
    201,538/442,818 = 442,818/x
  3. Step 3: Cross multiply
    201,538x = 442,818 × 442,818
  4. Step 4: Simplify right side
    201,538x = 196,087,781,124
  5. Step 5: Solve for x
    x = 196,087,781,124/201,538
  6. Step 6: Final answer
    x = 972,956.87

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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.