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Finding the Third Proportional to 112,822 and 157,879

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Solution

The third proportional to 112,822 and 157,879 is: 220,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,822 : 157,879 = 157,879 : x
  2. Step 2: Convert to fraction form
    112,822/157,879 = 157,879/x
  3. Step 3: Cross multiply
    112,822x = 157,879 × 157,879
  4. Step 4: Simplify right side
    112,822x = 24,925,778,641
  5. Step 5: Solve for x
    x = 24,925,778,641/112,822
  6. Step 6: Final answer
    x = 220,930.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.