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Finding the Third Proportional to 53,825.25 and 80,122.50

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Solution

The third proportional to 53,825.25 and 80,122.50 is: 119,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,825.25 : 80,122.50 = 80,122.50 : x
  2. Step 2: Convert to fraction form
    53,825.25/80,122.50 = 80,122.50/x
  3. Step 3: Cross multiply
    53,825.25x = 80,122.50 × 80,122.50
  4. Step 4: Simplify right side
    53,825.25x = 6,419,615,006.25
  5. Step 5: Solve for x
    x = 6,419,615,006.25/53,825.25
  6. Step 6: Final answer
    x = 119,267.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.