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Finding the Third Proportional to 90,825 and 195,623

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Solution

The third proportional to 90,825 and 195,623 is: 421,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,825 : 195,623 = 195,623 : x
  2. Step 2: Convert to fraction form
    90,825/195,623 = 195,623/x
  3. Step 3: Cross multiply
    90,825x = 195,623 × 195,623
  4. Step 4: Simplify right side
    90,825x = 38,268,358,129
  5. Step 5: Solve for x
    x = 38,268,358,129/90,825
  6. Step 6: Final answer
    x = 421,341.68

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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.