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Finding the Third Proportional to 109,243 and 164,867

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Solution

The third proportional to 109,243 and 164,867 is: 248,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,243 : 164,867 = 164,867 : x
  2. Step 2: Convert to fraction form
    109,243/164,867 = 164,867/x
  3. Step 3: Cross multiply
    109,243x = 164,867 × 164,867
  4. Step 4: Simplify right side
    109,243x = 27,181,127,689
  5. Step 5: Solve for x
    x = 27,181,127,689/109,243
  6. Step 6: Final answer
    x = 248,813.45

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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.