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Finding the Third Proportional to 169,772 and 258,349

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Solution

The third proportional to 169,772 and 258,349 is: 393,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,772 : 258,349 = 258,349 : x
  2. Step 2: Convert to fraction form
    169,772/258,349 = 258,349/x
  3. Step 3: Cross multiply
    169,772x = 258,349 × 258,349
  4. Step 4: Simplify right side
    169,772x = 66,744,205,801
  5. Step 5: Solve for x
    x = 66,744,205,801/169,772
  6. Step 6: Final answer
    x = 393,140.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.