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Finding the Third Proportional to 18,906.75 and 31,465.13

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Solution

The third proportional to 18,906.75 and 31,465.13 is: 52,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.75 : 31,465.13 = 31,465.13 : x
  2. Step 2: Convert to fraction form
    18,906.75/31,465.13 = 31,465.13/x
  3. Step 3: Cross multiply
    18,906.75x = 31,465.13 × 31,465.13
  4. Step 4: Simplify right side
    18,906.75x = 990,054,091.27
  5. Step 5: Solve for x
    x = 990,054,091.27/18,906.75
  6. Step 6: Final answer
    x = 52,365.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.