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Finding the Third Proportional to 169,408 and 222,768

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Solution

The third proportional to 169,408 and 222,768 is: 292,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408 : 222,768 = 222,768 : x
  2. Step 2: Convert to fraction form
    169,408/222,768 = 222,768/x
  3. Step 3: Cross multiply
    169,408x = 222,768 × 222,768
  4. Step 4: Simplify right side
    169,408x = 49,625,581,824
  5. Step 5: Solve for x
    x = 49,625,581,824/169,408
  6. Step 6: Final answer
    x = 292,935.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.