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Finding the Third Proportional to 163,822 and 220,147

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Solution

The third proportional to 163,822 and 220,147 is: 295,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,822 : 220,147 = 220,147 : x
  2. Step 2: Convert to fraction form
    163,822/220,147 = 220,147/x
  3. Step 3: Cross multiply
    163,822x = 220,147 × 220,147
  4. Step 4: Simplify right side
    163,822x = 48,464,701,609
  5. Step 5: Solve for x
    x = 48,464,701,609/163,822
  6. Step 6: Final answer
    x = 295,837.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.