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Finding the Third Proportional to 109,463 and 164,990

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Solution

The third proportional to 109,463 and 164,990 is: 248,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463 : 164,990 = 164,990 : x
  2. Step 2: Convert to fraction form
    109,463/164,990 = 164,990/x
  3. Step 3: Cross multiply
    109,463x = 164,990 × 164,990
  4. Step 4: Simplify right side
    109,463x = 27,221,700,100
  5. Step 5: Solve for x
    x = 27,221,700,100/109,463
  6. Step 6: Final answer
    x = 248,684.03

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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.