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Finding the Third Proportional to 201,787 and 303,158

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Solution

The third proportional to 201,787 and 303,158 is: 455,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,787 : 303,158 = 303,158 : x
  2. Step 2: Convert to fraction form
    201,787/303,158 = 303,158/x
  3. Step 3: Cross multiply
    201,787x = 303,158 × 303,158
  4. Step 4: Simplify right side
    201,787x = 91,904,772,964
  5. Step 5: Solve for x
    x = 91,904,772,964/201,787
  6. Step 6: Final answer
    x = 455,454.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.