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Finding the Third Proportional to 169,089 and 253,098

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Solution

The third proportional to 169,089 and 253,098 is: 378,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,089 : 253,098 = 253,098 : x
  2. Step 2: Convert to fraction form
    169,089/253,098 = 253,098/x
  3. Step 3: Cross multiply
    169,089x = 253,098 × 253,098
  4. Step 4: Simplify right side
    169,089x = 64,058,597,604
  5. Step 5: Solve for x
    x = 64,058,597,604/169,089
  6. Step 6: Final answer
    x = 378,845.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.