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Finding the Third Proportional to 38,822 and 83,178

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Solution

The third proportional to 38,822 and 83,178 is: 178,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,822 : 83,178 = 83,178 : x
  2. Step 2: Convert to fraction form
    38,822/83,178 = 83,178/x
  3. Step 3: Cross multiply
    38,822x = 83,178 × 83,178
  4. Step 4: Simplify right side
    38,822x = 6,918,579,684
  5. Step 5: Solve for x
    x = 6,918,579,684/38,822
  6. Step 6: Final answer
    x = 178,212.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.