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Finding the Third Proportional to 76,661 and 168,445

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Solution

The third proportional to 76,661 and 168,445 is: 370,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,661 : 168,445 = 168,445 : x
  2. Step 2: Convert to fraction form
    76,661/168,445 = 168,445/x
  3. Step 3: Cross multiply
    76,661x = 168,445 × 168,445
  4. Step 4: Simplify right side
    76,661x = 28,373,718,025
  5. Step 5: Solve for x
    x = 28,373,718,025/76,661
  6. Step 6: Final answer
    x = 370,119.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.