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Finding the Third Proportional to 91,865 and 137,798

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Solution

The third proportional to 91,865 and 137,798 is: 206,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,865 : 137,798 = 137,798 : x
  2. Step 2: Convert to fraction form
    91,865/137,798 = 137,798/x
  3. Step 3: Cross multiply
    91,865x = 137,798 × 137,798
  4. Step 4: Simplify right side
    91,865x = 18,988,288,804
  5. Step 5: Solve for x
    x = 18,988,288,804/91,865
  6. Step 6: Final answer
    x = 206,697.75

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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.