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Finding the Third Proportional to 91,117 and 199,943

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Solution

The third proportional to 91,117 and 199,943 is: 438,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,117 : 199,943 = 199,943 : x
  2. Step 2: Convert to fraction form
    91,117/199,943 = 199,943/x
  3. Step 3: Cross multiply
    91,117x = 199,943 × 199,943
  4. Step 4: Simplify right side
    91,117x = 39,977,203,249
  5. Step 5: Solve for x
    x = 39,977,203,249/91,117
  6. Step 6: Final answer
    x = 438,745.82

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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.