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Finding the Third Proportional to 69,072.75 and 109,737.28

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Solution

The third proportional to 69,072.75 and 109,737.28 is: 174,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,072.75 : 109,737.28 = 109,737.28 : x
  2. Step 2: Convert to fraction form
    69,072.75/109,737.28 = 109,737.28/x
  3. Step 3: Cross multiply
    69,072.75x = 109,737.28 × 109,737.28
  4. Step 4: Simplify right side
    69,072.75x = 12,042,270,896.14
  5. Step 5: Solve for x
    x = 12,042,270,896.14/69,072.75
  6. Step 6: Final answer
    x = 174,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.