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Finding the Third Proportional to 111,784 and 169,121

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Solution

The third proportional to 111,784 and 169,121 is: 255,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,784 : 169,121 = 169,121 : x
  2. Step 2: Convert to fraction form
    111,784/169,121 = 169,121/x
  3. Step 3: Cross multiply
    111,784x = 169,121 × 169,121
  4. Step 4: Simplify right side
    111,784x = 28,601,912,641
  5. Step 5: Solve for x
    x = 28,601,912,641/111,784
  6. Step 6: Final answer
    x = 255,867.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.