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Finding the Third Proportional to 159,611 and 242,879

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Solution

The third proportional to 159,611 and 242,879 is: 369,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,611 : 242,879 = 242,879 : x
  2. Step 2: Convert to fraction form
    159,611/242,879 = 242,879/x
  3. Step 3: Cross multiply
    159,611x = 242,879 × 242,879
  4. Step 4: Simplify right side
    159,611x = 58,990,208,641
  5. Step 5: Solve for x
    x = 58,990,208,641/159,611
  6. Step 6: Final answer
    x = 369,587.36

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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.