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Finding the Third Proportional to 115,676 and 169,868

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Solution

The third proportional to 115,676 and 169,868 is: 249,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,676 : 169,868 = 169,868 : x
  2. Step 2: Convert to fraction form
    115,676/169,868 = 169,868/x
  3. Step 3: Cross multiply
    115,676x = 169,868 × 169,868
  4. Step 4: Simplify right side
    115,676x = 28,855,137,424
  5. Step 5: Solve for x
    x = 28,855,137,424/115,676
  6. Step 6: Final answer
    x = 249,447.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.