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Finding the Third Proportional to 201,180 and 303,820

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Solution

The third proportional to 201,180 and 303,820 is: 458,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,180 : 303,820 = 303,820 : x
  2. Step 2: Convert to fraction form
    201,180/303,820 = 303,820/x
  3. Step 3: Cross multiply
    201,180x = 303,820 × 303,820
  4. Step 4: Simplify right side
    201,180x = 92,306,592,400
  5. Step 5: Solve for x
    x = 92,306,592,400/201,180
  6. Step 6: Final answer
    x = 458,825.89

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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.