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Finding the Third Proportional to 286,537.50 and 311,110.88

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Solution

The third proportional to 286,537.50 and 311,110.88 is: 337,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,537.50 : 311,110.88 = 311,110.88 : x
  2. Step 2: Convert to fraction form
    286,537.50/311,110.88 = 311,110.88/x
  3. Step 3: Cross multiply
    286,537.50x = 311,110.88 × 311,110.88
  4. Step 4: Simplify right side
    286,537.50x = 96,789,976,543.27
  5. Step 5: Solve for x
    x = 96,789,976,543.27/286,537.50
  6. Step 6: Final answer
    x = 337,791.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.