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Finding the Third Proportional to 77,964 and 168,400

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Solution

The third proportional to 77,964 and 168,400 is: 363,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964 : 168,400 = 168,400 : x
  2. Step 2: Convert to fraction form
    77,964/168,400 = 168,400/x
  3. Step 3: Cross multiply
    77,964x = 168,400 × 168,400
  4. Step 4: Simplify right side
    77,964x = 28,358,560,000
  5. Step 5: Solve for x
    x = 28,358,560,000/77,964
  6. Step 6: Final answer
    x = 363,739.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.