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Finding the Third Proportional to 83,780 and 197,621

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Solution

The third proportional to 83,780 and 197,621 is: 466,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780 : 197,621 = 197,621 : x
  2. Step 2: Convert to fraction form
    83,780/197,621 = 197,621/x
  3. Step 3: Cross multiply
    83,780x = 197,621 × 197,621
  4. Step 4: Simplify right side
    83,780x = 39,054,059,641
  5. Step 5: Solve for x
    x = 39,054,059,641/83,780
  6. Step 6: Final answer
    x = 466,150.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.