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Finding the Third Proportional to 77,033.53 and 122,232.80

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Solution

The third proportional to 77,033.53 and 122,232.80 is: 193,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,033.53 : 122,232.80 = 122,232.80 : x
  2. Step 2: Convert to fraction form
    77,033.53/122,232.80 = 122,232.80/x
  3. Step 3: Cross multiply
    77,033.53x = 122,232.80 × 122,232.80
  4. Step 4: Simplify right side
    77,033.53x = 14,940,856,631.89
  5. Step 5: Solve for x
    x = 14,940,856,631.89/77,033.53
  6. Step 6: Final answer
    x = 193,952.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.