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Finding the Third Proportional to 90,819 and 197,985.75

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Solution

The third proportional to 90,819 and 197,985.75 is: 431,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,819 : 197,985.75 = 197,985.75 : x
  2. Step 2: Convert to fraction form
    90,819/197,985.75 = 197,985.75/x
  3. Step 3: Cross multiply
    90,819x = 197,985.75 × 197,985.75
  4. Step 4: Simplify right side
    90,819x = 39,198,357,203.06
  5. Step 5: Solve for x
    x = 39,198,357,203.06/90,819
  6. Step 6: Final answer
    x = 431,609.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.