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Finding the Third Proportional to 80,205.75 and 112,136.25

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Solution

The third proportional to 80,205.75 and 112,136.25 is: 156,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.75 : 112,136.25 = 112,136.25 : x
  2. Step 2: Convert to fraction form
    80,205.75/112,136.25 = 112,136.25/x
  3. Step 3: Cross multiply
    80,205.75x = 112,136.25 × 112,136.25
  4. Step 4: Simplify right side
    80,205.75x = 12,574,538,564.06
  5. Step 5: Solve for x
    x = 12,574,538,564.06/80,205.75
  6. Step 6: Final answer
    x = 156,778.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.