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Finding the Third Proportional to 201,156 and 303,783

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Solution

The third proportional to 201,156 and 303,783 is: 458,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,156 : 303,783 = 303,783 : x
  2. Step 2: Convert to fraction form
    201,156/303,783 = 303,783/x
  3. Step 3: Cross multiply
    201,156x = 303,783 × 303,783
  4. Step 4: Simplify right side
    201,156x = 92,284,111,089
  5. Step 5: Solve for x
    x = 92,284,111,089/201,156
  6. Step 6: Final answer
    x = 458,768.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.