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Finding the Third Proportional to 311,731.50 and 485,842.50

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Solution

The third proportional to 311,731.50 and 485,842.50 is: 757,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,731.50 : 485,842.50 = 485,842.50 : x
  2. Step 2: Convert to fraction form
    311,731.50/485,842.50 = 485,842.50/x
  3. Step 3: Cross multiply
    311,731.50x = 485,842.50 × 485,842.50
  4. Step 4: Simplify right side
    311,731.50x = 236,042,934,806.25
  5. Step 5: Solve for x
    x = 236,042,934,806.25/311,731.50
  6. Step 6: Final answer
    x = 757,199.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.