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Finding the Third Proportional to 169,830 and 359,889

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Solution

The third proportional to 169,830 and 359,889 is: 762,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830 : 359,889 = 359,889 : x
  2. Step 2: Convert to fraction form
    169,830/359,889 = 359,889/x
  3. Step 3: Cross multiply
    169,830x = 359,889 × 359,889
  4. Step 4: Simplify right side
    169,830x = 129,520,092,321
  5. Step 5: Solve for x
    x = 129,520,092,321/169,830
  6. Step 6: Final answer
    x = 762,645.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.