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Finding the Third Proportional to 90,000 and 208,356.75

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Solution

The third proportional to 90,000 and 208,356.75 is: 482,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,000 : 208,356.75 = 208,356.75 : x
  2. Step 2: Convert to fraction form
    90,000/208,356.75 = 208,356.75/x
  3. Step 3: Cross multiply
    90,000x = 208,356.75 × 208,356.75
  4. Step 4: Simplify right side
    90,000x = 43,412,535,270.56
  5. Step 5: Solve for x
    x = 43,412,535,270.56/90,000
  6. Step 6: Final answer
    x = 482,361.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.