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Finding the Third Proportional to 112,533 and 174,190.75

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Solution

The third proportional to 112,533 and 174,190.75 is: 269,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,533 : 174,190.75 = 174,190.75 : x
  2. Step 2: Convert to fraction form
    112,533/174,190.75 = 174,190.75/x
  3. Step 3: Cross multiply
    112,533x = 174,190.75 × 174,190.75
  4. Step 4: Simplify right side
    112,533x = 30,342,417,385.56
  5. Step 5: Solve for x
    x = 30,342,417,385.56/112,533
  6. Step 6: Final answer
    x = 269,631.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.