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Finding the Third Proportional to 242,878.50 and 353,382.75

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Solution

The third proportional to 242,878.50 and 353,382.75 is: 514,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,878.50 : 353,382.75 = 353,382.75 : x
  2. Step 2: Convert to fraction form
    242,878.50/353,382.75 = 353,382.75/x
  3. Step 3: Cross multiply
    242,878.50x = 353,382.75 × 353,382.75
  4. Step 4: Simplify right side
    242,878.50x = 124,879,367,997.56
  5. Step 5: Solve for x
    x = 124,879,367,997.56/242,878.50
  6. Step 6: Final answer
    x = 514,163.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.