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Finding the Third Proportional to 23,829.19 and 52,533.56

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Solution

The third proportional to 23,829.19 and 52,533.56 is: 115,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.19 : 52,533.56 = 52,533.56 : x
  2. Step 2: Convert to fraction form
    23,829.19/52,533.56 = 52,533.56/x
  3. Step 3: Cross multiply
    23,829.19x = 52,533.56 × 52,533.56
  4. Step 4: Simplify right side
    23,829.19x = 2,759,775,188.94
  5. Step 5: Solve for x
    x = 2,759,775,188.94/23,829.19
  6. Step 6: Final answer
    x = 115,814.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.