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Finding the Third Proportional to 200,538 and 427,086

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Solution

The third proportional to 200,538 and 427,086 is: 909,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538 : 427,086 = 427,086 : x
  2. Step 2: Convert to fraction form
    200,538/427,086 = 427,086/x
  3. Step 3: Cross multiply
    200,538x = 427,086 × 427,086
  4. Step 4: Simplify right side
    200,538x = 182,402,451,396
  5. Step 5: Solve for x
    x = 182,402,451,396/200,538
  6. Step 6: Final answer
    x = 909,565.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.