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Finding the Third Proportional to 121,641.25 and 193,704

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Solution

The third proportional to 121,641.25 and 193,704 is: 308,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,641.25 : 193,704 = 193,704 : x
  2. Step 2: Convert to fraction form
    121,641.25/193,704 = 193,704/x
  3. Step 3: Cross multiply
    121,641.25x = 193,704 × 193,704
  4. Step 4: Simplify right side
    121,641.25x = 37,521,239,616
  5. Step 5: Solve for x
    x = 37,521,239,616/121,641.25
  6. Step 6: Final answer
    x = 308,458.19

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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.