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Finding the Third Proportional to 80,205.25 and 112,135.50

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Solution

The third proportional to 80,205.25 and 112,135.50 is: 156,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.25 : 112,135.50 = 112,135.50 : x
  2. Step 2: Convert to fraction form
    80,205.25/112,135.50 = 112,135.50/x
  3. Step 3: Cross multiply
    80,205.25x = 112,135.50 × 112,135.50
  4. Step 4: Simplify right side
    80,205.25x = 12,574,370,360.25
  5. Step 5: Solve for x
    x = 12,574,370,360.25/80,205.25
  6. Step 6: Final answer
    x = 156,777.40

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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.