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Finding the Third Proportional to 121,732 and 193,158

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Solution

The third proportional to 121,732 and 193,158 is: 306,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,732 : 193,158 = 193,158 : x
  2. Step 2: Convert to fraction form
    121,732/193,158 = 193,158/x
  3. Step 3: Cross multiply
    121,732x = 193,158 × 193,158
  4. Step 4: Simplify right side
    121,732x = 37,310,012,964
  5. Step 5: Solve for x
    x = 37,310,012,964/121,732
  6. Step 6: Final answer
    x = 306,493.06

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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.