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Finding the Third Proportional to 91,709 and 199,712

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Solution

The third proportional to 91,709 and 199,712 is: 434,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,709 : 199,712 = 199,712 : x
  2. Step 2: Convert to fraction form
    91,709/199,712 = 199,712/x
  3. Step 3: Cross multiply
    91,709x = 199,712 × 199,712
  4. Step 4: Simplify right side
    91,709x = 39,884,882,944
  5. Step 5: Solve for x
    x = 39,884,882,944/91,709
  6. Step 6: Final answer
    x = 434,906.97

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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.