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Finding the Third Proportional to 90,181.69 and 194,815.13

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Solution

The third proportional to 90,181.69 and 194,815.13 is: 420,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,181.69 : 194,815.13 = 194,815.13 : x
  2. Step 2: Convert to fraction form
    90,181.69/194,815.13 = 194,815.13/x
  3. Step 3: Cross multiply
    90,181.69x = 194,815.13 × 194,815.13
  4. Step 4: Simplify right side
    90,181.69x = 37,952,932,928.77
  5. Step 5: Solve for x
    x = 37,952,932,928.77/90,181.69
  6. Step 6: Final answer
    x = 420,849.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.