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Finding the Third Proportional to 91,917 and 199,386

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Solution

The third proportional to 91,917 and 199,386 is: 432,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,917 : 199,386 = 199,386 : x
  2. Step 2: Convert to fraction form
    91,917/199,386 = 199,386/x
  3. Step 3: Cross multiply
    91,917x = 199,386 × 199,386
  4. Step 4: Simplify right side
    91,917x = 39,754,776,996
  5. Step 5: Solve for x
    x = 39,754,776,996/91,917
  6. Step 6: Final answer
    x = 432,507.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.