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Finding the Third Proportional to 121,317 and 193,788

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Solution

The third proportional to 121,317 and 193,788 is: 309,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,317 : 193,788 = 193,788 : x
  2. Step 2: Convert to fraction form
    121,317/193,788 = 193,788/x
  3. Step 3: Cross multiply
    121,317x = 193,788 × 193,788
  4. Step 4: Simplify right side
    121,317x = 37,553,788,944
  5. Step 5: Solve for x
    x = 37,553,788,944/121,317
  6. Step 6: Final answer
    x = 309,550.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.