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Finding the Third Proportional to 90,072 and 191,808

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Solution

The third proportional to 90,072 and 191,808 is: 408,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,072 : 191,808 = 191,808 : x
  2. Step 2: Convert to fraction form
    90,072/191,808 = 191,808/x
  3. Step 3: Cross multiply
    90,072x = 191,808 × 191,808
  4. Step 4: Simplify right side
    90,072x = 36,790,308,864
  5. Step 5: Solve for x
    x = 36,790,308,864/90,072
  6. Step 6: Final answer
    x = 408,454.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.