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Finding the Third Proportional to 311,863.50 and 409,504.50

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Solution

The third proportional to 311,863.50 and 409,504.50 is: 537,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,863.50 : 409,504.50 = 409,504.50 : x
  2. Step 2: Convert to fraction form
    311,863.50/409,504.50 = 409,504.50/x
  3. Step 3: Cross multiply
    311,863.50x = 409,504.50 × 409,504.50
  4. Step 4: Simplify right side
    311,863.50x = 167,693,935,520.25
  5. Step 5: Solve for x
    x = 167,693,935,520.25/311,863.50
  6. Step 6: Final answer
    x = 537,715.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.