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Finding the Third Proportional to 66,974 and 91,835

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Solution

The third proportional to 66,974 and 91,835 is: 125,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,974 : 91,835 = 91,835 : x
  2. Step 2: Convert to fraction form
    66,974/91,835 = 91,835/x
  3. Step 3: Cross multiply
    66,974x = 91,835 × 91,835
  4. Step 4: Simplify right side
    66,974x = 8,433,667,225
  5. Step 5: Solve for x
    x = 8,433,667,225/66,974
  6. Step 6: Final answer
    x = 125,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.