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Finding the Third Proportional to 90,643.50 and 194,403.75

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Solution

The third proportional to 90,643.50 and 194,403.75 is: 416,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643.50 : 194,403.75 = 194,403.75 : x
  2. Step 2: Convert to fraction form
    90,643.50/194,403.75 = 194,403.75/x
  3. Step 3: Cross multiply
    90,643.50x = 194,403.75 × 194,403.75
  4. Step 4: Simplify right side
    90,643.50x = 37,792,818,014.06
  5. Step 5: Solve for x
    x = 37,792,818,014.06/90,643.50
  6. Step 6: Final answer
    x = 416,939.09

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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.