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Finding the Third Proportional to 52,083 and 80,286.19

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Solution

The third proportional to 52,083 and 80,286.19 is: 123,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083 : 80,286.19 = 80,286.19 : x
  2. Step 2: Convert to fraction form
    52,083/80,286.19 = 80,286.19/x
  3. Step 3: Cross multiply
    52,083x = 80,286.19 × 80,286.19
  4. Step 4: Simplify right side
    52,083x = 6,445,871,903.29
  5. Step 5: Solve for x
    x = 6,445,871,903.29/52,083
  6. Step 6: Final answer
    x = 123,761.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.