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Finding the Third Proportional to 90,019.50 and 193,981.13

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Solution

The third proportional to 90,019.50 and 193,981.13 is: 418,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,019.50 : 193,981.13 = 193,981.13 : x
  2. Step 2: Convert to fraction form
    90,019.50/193,981.13 = 193,981.13/x
  3. Step 3: Cross multiply
    90,019.50x = 193,981.13 × 193,981.13
  4. Step 4: Simplify right side
    90,019.50x = 37,628,676,856.27
  5. Step 5: Solve for x
    x = 37,628,676,856.27/90,019.50
  6. Step 6: Final answer
    x = 418,005.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.