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Finding the Third Proportional to 78,021 and 168,921

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Solution

The third proportional to 78,021 and 168,921 is: 365,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021 : 168,921 = 168,921 : x
  2. Step 2: Convert to fraction form
    78,021/168,921 = 168,921/x
  3. Step 3: Cross multiply
    78,021x = 168,921 × 168,921
  4. Step 4: Simplify right side
    78,021x = 28,534,304,241
  5. Step 5: Solve for x
    x = 28,534,304,241/78,021
  6. Step 6: Final answer
    x = 365,725.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.