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Finding the Third Proportional to 91,309 and 197,197

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Solution

The third proportional to 91,309 and 197,197 is: 425,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,309 : 197,197 = 197,197 : x
  2. Step 2: Convert to fraction form
    91,309/197,197 = 197,197/x
  3. Step 3: Cross multiply
    91,309x = 197,197 × 197,197
  4. Step 4: Simplify right side
    91,309x = 38,886,656,809
  5. Step 5: Solve for x
    x = 38,886,656,809/91,309
  6. Step 6: Final answer
    x = 425,879.78

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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.