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Finding the Third Proportional to 88,067 and 136,421

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Solution

The third proportional to 88,067 and 136,421 is: 211,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,067 : 136,421 = 136,421 : x
  2. Step 2: Convert to fraction form
    88,067/136,421 = 136,421/x
  3. Step 3: Cross multiply
    88,067x = 136,421 × 136,421
  4. Step 4: Simplify right side
    88,067x = 18,610,689,241
  5. Step 5: Solve for x
    x = 18,610,689,241/88,067
  6. Step 6: Final answer
    x = 211,324.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.