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Finding the Third Proportional to 311,444.50 and 411,499.75

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Solution

The third proportional to 311,444.50 and 411,499.75 is: 543,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,444.50 : 411,499.75 = 411,499.75 : x
  2. Step 2: Convert to fraction form
    311,444.50/411,499.75 = 411,499.75/x
  3. Step 3: Cross multiply
    311,444.50x = 411,499.75 × 411,499.75
  4. Step 4: Simplify right side
    311,444.50x = 169,332,044,250.06
  5. Step 5: Solve for x
    x = 169,332,044,250.06/311,444.50
  6. Step 6: Final answer
    x = 543,698.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.