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Finding the Third Proportional to 201,274.50 and 318,315

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Solution

The third proportional to 201,274.50 and 318,315 is: 503,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,274.50 : 318,315 = 318,315 : x
  2. Step 2: Convert to fraction form
    201,274.50/318,315 = 318,315/x
  3. Step 3: Cross multiply
    201,274.50x = 318,315 × 318,315
  4. Step 4: Simplify right side
    201,274.50x = 101,324,439,225
  5. Step 5: Solve for x
    x = 101,324,439,225/201,274.50
  6. Step 6: Final answer
    x = 503,414.19

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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.