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Finding the Third Proportional to 90,733.50 and 208,257.75

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Solution

The third proportional to 90,733.50 and 208,257.75 is: 478,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,733.50 : 208,257.75 = 208,257.75 : x
  2. Step 2: Convert to fraction form
    90,733.50/208,257.75 = 208,257.75/x
  3. Step 3: Cross multiply
    90,733.50x = 208,257.75 × 208,257.75
  4. Step 4: Simplify right side
    90,733.50x = 43,371,290,435.06
  5. Step 5: Solve for x
    x = 43,371,290,435.06/90,733.50
  6. Step 6: Final answer
    x = 478,007.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.