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Finding the Third Proportional to 91,439 and 137,159

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Solution

The third proportional to 91,439 and 137,159 is: 205,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,439 : 137,159 = 137,159 : x
  2. Step 2: Convert to fraction form
    91,439/137,159 = 137,159/x
  3. Step 3: Cross multiply
    91,439x = 137,159 × 137,159
  4. Step 4: Simplify right side
    91,439x = 18,812,591,281
  5. Step 5: Solve for x
    x = 18,812,591,281/91,439
  6. Step 6: Final answer
    x = 205,739.25

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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.