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Finding the Third Proportional to 66,970.97 and 91,201.78

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Solution

The third proportional to 66,970.97 and 91,201.78 is: 124,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,970.97 : 91,201.78 = 91,201.78 : x
  2. Step 2: Convert to fraction form
    66,970.97/91,201.78 = 91,201.78/x
  3. Step 3: Cross multiply
    66,970.97x = 91,201.78 × 91,201.78
  4. Step 4: Simplify right side
    66,970.97x = 8,317,764,903.17
  5. Step 5: Solve for x
    x = 8,317,764,903.17/66,970.97
  6. Step 6: Final answer
    x = 124,199.56

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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.