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Finding the Third Proportional to 169,616 and 269,408

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Solution

The third proportional to 169,616 and 269,408 is: 427,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,616 : 269,408 = 269,408 : x
  2. Step 2: Convert to fraction form
    169,616/269,408 = 269,408/x
  3. Step 3: Cross multiply
    169,616x = 269,408 × 269,408
  4. Step 4: Simplify right side
    169,616x = 72,580,670,464
  5. Step 5: Solve for x
    x = 72,580,670,464/169,616
  6. Step 6: Final answer
    x = 427,911.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.