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Finding the Third Proportional to 91,216 and 199,684

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Solution

The third proportional to 91,216 and 199,684 is: 437,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,216 : 199,684 = 199,684 : x
  2. Step 2: Convert to fraction form
    91,216/199,684 = 199,684/x
  3. Step 3: Cross multiply
    91,216x = 199,684 × 199,684
  4. Step 4: Simplify right side
    91,216x = 39,873,699,856
  5. Step 5: Solve for x
    x = 39,873,699,856/91,216
  6. Step 6: Final answer
    x = 437,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.