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Finding the Third Proportional to 109,939 and 168,462

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Solution

The third proportional to 109,939 and 168,462 is: 258,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,939 : 168,462 = 168,462 : x
  2. Step 2: Convert to fraction form
    109,939/168,462 = 168,462/x
  3. Step 3: Cross multiply
    109,939x = 168,462 × 168,462
  4. Step 4: Simplify right side
    109,939x = 28,379,445,444
  5. Step 5: Solve for x
    x = 28,379,445,444/109,939
  6. Step 6: Final answer
    x = 258,138.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.