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Finding the Third Proportional to 43,572 and 69,240

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Solution

The third proportional to 43,572 and 69,240 is: 110,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,572 : 69,240 = 69,240 : x
  2. Step 2: Convert to fraction form
    43,572/69,240 = 69,240/x
  3. Step 3: Cross multiply
    43,572x = 69,240 × 69,240
  4. Step 4: Simplify right side
    43,572x = 4,794,177,600
  5. Step 5: Solve for x
    x = 4,794,177,600/43,572
  6. Step 6: Final answer
    x = 110,028.86

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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.