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Finding the Third Proportional to 109,774 and 163,939

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Solution

The third proportional to 109,774 and 163,939 is: 244,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,774 : 163,939 = 163,939 : x
  2. Step 2: Convert to fraction form
    109,774/163,939 = 163,939/x
  3. Step 3: Cross multiply
    109,774x = 163,939 × 163,939
  4. Step 4: Simplify right side
    109,774x = 26,875,995,721
  5. Step 5: Solve for x
    x = 26,875,995,721/109,774
  6. Step 6: Final answer
    x = 244,830.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.