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Finding the Third Proportional to 91,906 and 137,859

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Solution

The third proportional to 91,906 and 137,859 is: 206,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,906 : 137,859 = 137,859 : x
  2. Step 2: Convert to fraction form
    91,906/137,859 = 137,859/x
  3. Step 3: Cross multiply
    91,906x = 137,859 × 137,859
  4. Step 4: Simplify right side
    91,906x = 19,005,103,881
  5. Step 5: Solve for x
    x = 19,005,103,881/91,906
  6. Step 6: Final answer
    x = 206,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.