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Finding the Third Proportional to 221,853.50 and 485,689

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Solution

The third proportional to 221,853.50 and 485,689 is: 1,063,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,853.50 : 485,689 = 485,689 : x
  2. Step 2: Convert to fraction form
    221,853.50/485,689 = 485,689/x
  3. Step 3: Cross multiply
    221,853.50x = 485,689 × 485,689
  4. Step 4: Simplify right side
    221,853.50x = 235,893,804,721
  5. Step 5: Solve for x
    x = 235,893,804,721/221,853.50
  6. Step 6: Final answer
    x = 1,063,286.38

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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.