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Finding the Third Proportional to 66,538 and 143,737.50

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Solution

The third proportional to 66,538 and 143,737.50 is: 310,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 143,737.50 = 143,737.50 : x
  2. Step 2: Convert to fraction form
    66,538/143,737.50 = 143,737.50/x
  3. Step 3: Cross multiply
    66,538x = 143,737.50 × 143,737.50
  4. Step 4: Simplify right side
    66,538x = 20,660,468,906.25
  5. Step 5: Solve for x
    x = 20,660,468,906.25/66,538
  6. Step 6: Final answer
    x = 310,506.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.