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Finding the Third Proportional to 165,642 and 220,689

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Solution

The third proportional to 165,642 and 220,689 is: 294,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,642 : 220,689 = 220,689 : x
  2. Step 2: Convert to fraction form
    165,642/220,689 = 220,689/x
  3. Step 3: Cross multiply
    165,642x = 220,689 × 220,689
  4. Step 4: Simplify right side
    165,642x = 48,703,634,721
  5. Step 5: Solve for x
    x = 48,703,634,721/165,642
  6. Step 6: Final answer
    x = 294,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.