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Finding the Third Proportional to 80,232.50 and 112,164.50

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Solution

The third proportional to 80,232.50 and 112,164.50 is: 156,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232.50 : 112,164.50 = 112,164.50 : x
  2. Step 2: Convert to fraction form
    80,232.50/112,164.50 = 112,164.50/x
  3. Step 3: Cross multiply
    80,232.50x = 112,164.50 × 112,164.50
  4. Step 4: Simplify right side
    80,232.50x = 12,580,875,060.25
  5. Step 5: Solve for x
    x = 12,580,875,060.25/80,232.50
  6. Step 6: Final answer
    x = 156,805.22

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