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Finding the Third Proportional to 91,739.75 and 137,181.75

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Solution

The third proportional to 91,739.75 and 137,181.75 is: 205,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,739.75 : 137,181.75 = 137,181.75 : x
  2. Step 2: Convert to fraction form
    91,739.75/137,181.75 = 137,181.75/x
  3. Step 3: Cross multiply
    91,739.75x = 137,181.75 × 137,181.75
  4. Step 4: Simplify right side
    91,739.75x = 18,818,832,533.06
  5. Step 5: Solve for x
    x = 18,818,832,533.06/91,739.75
  6. Step 6: Final answer
    x = 205,132.81

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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.