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Finding the Third Proportional to 61,245 and 91,868

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Solution

The third proportional to 61,245 and 91,868 is: 137,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,245 : 91,868 = 91,868 : x
  2. Step 2: Convert to fraction form
    61,245/91,868 = 91,868/x
  3. Step 3: Cross multiply
    61,245x = 91,868 × 91,868
  4. Step 4: Simplify right side
    61,245x = 8,439,729,424
  5. Step 5: Solve for x
    x = 8,439,729,424/61,245
  6. Step 6: Final answer
    x = 137,802.75

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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.