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Finding the Third Proportional to 66,889.50 and 91,107

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Solution

The third proportional to 66,889.50 and 91,107 is: 124,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,889.50 : 91,107 = 91,107 : x
  2. Step 2: Convert to fraction form
    66,889.50/91,107 = 91,107/x
  3. Step 3: Cross multiply
    66,889.50x = 91,107 × 91,107
  4. Step 4: Simplify right side
    66,889.50x = 8,300,485,449
  5. Step 5: Solve for x
    x = 8,300,485,449/66,889.50
  6. Step 6: Final answer
    x = 124,092.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.