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Finding the Third Proportional to 77,162 and 168,742

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Solution

The third proportional to 77,162 and 168,742 is: 369,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162 : 168,742 = 168,742 : x
  2. Step 2: Convert to fraction form
    77,162/168,742 = 168,742/x
  3. Step 3: Cross multiply
    77,162x = 168,742 × 168,742
  4. Step 4: Simplify right side
    77,162x = 28,473,862,564
  5. Step 5: Solve for x
    x = 28,473,862,564/77,162
  6. Step 6: Final answer
    x = 369,014.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.