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Finding the Third Proportional to 77,940 and 168,996

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Solution

The third proportional to 77,940 and 168,996 is: 366,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940 : 168,996 = 168,996 : x
  2. Step 2: Convert to fraction form
    77,940/168,996 = 168,996/x
  3. Step 3: Cross multiply
    77,940x = 168,996 × 168,996
  4. Step 4: Simplify right side
    77,940x = 28,559,648,016
  5. Step 5: Solve for x
    x = 28,559,648,016/77,940
  6. Step 6: Final answer
    x = 366,431.20

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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.