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Finding the Third Proportional to 52,064.25 and 111,510.75

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Solution

The third proportional to 52,064.25 and 111,510.75 is: 238,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,064.25 : 111,510.75 = 111,510.75 : x
  2. Step 2: Convert to fraction form
    52,064.25/111,510.75 = 111,510.75/x
  3. Step 3: Cross multiply
    52,064.25x = 111,510.75 × 111,510.75
  4. Step 4: Simplify right side
    52,064.25x = 12,434,647,365.56
  5. Step 5: Solve for x
    x = 12,434,647,365.56/52,064.25
  6. Step 6: Final answer
    x = 238,832.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.