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Finding the Third Proportional to 201,240 and 318,390

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Solution

The third proportional to 201,240 and 318,390 is: 503,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,240 : 318,390 = 318,390 : x
  2. Step 2: Convert to fraction form
    201,240/318,390 = 318,390/x
  3. Step 3: Cross multiply
    201,240x = 318,390 × 318,390
  4. Step 4: Simplify right side
    201,240x = 101,372,192,100
  5. Step 5: Solve for x
    x = 101,372,192,100/201,240
  6. Step 6: Final answer
    x = 503,737.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.