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Finding the Third Proportional to 52,719 and 81,940.50

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Solution

The third proportional to 52,719 and 81,940.50 is: 127,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719 : 81,940.50 = 81,940.50 : x
  2. Step 2: Convert to fraction form
    52,719/81,940.50 = 81,940.50/x
  3. Step 3: Cross multiply
    52,719x = 81,940.50 × 81,940.50
  4. Step 4: Simplify right side
    52,719x = 6,714,245,540.25
  5. Step 5: Solve for x
    x = 6,714,245,540.25/52,719
  6. Step 6: Final answer
    x = 127,359.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.