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Finding the Third Proportional to 90,909.75 and 194,455.50

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Solution

The third proportional to 90,909.75 and 194,455.50 is: 415,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,909.75 : 194,455.50 = 194,455.50 : x
  2. Step 2: Convert to fraction form
    90,909.75/194,455.50 = 194,455.50/x
  3. Step 3: Cross multiply
    90,909.75x = 194,455.50 × 194,455.50
  4. Step 4: Simplify right side
    90,909.75x = 37,812,941,480.25
  5. Step 5: Solve for x
    x = 37,812,941,480.25/90,909.75
  6. Step 6: Final answer
    x = 415,939.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.