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Finding the Third Proportional to 20,869.50 and 46,404

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Solution

The third proportional to 20,869.50 and 46,404 is: 103,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.50 : 46,404 = 46,404 : x
  2. Step 2: Convert to fraction form
    20,869.50/46,404 = 46,404/x
  3. Step 3: Cross multiply
    20,869.50x = 46,404 × 46,404
  4. Step 4: Simplify right side
    20,869.50x = 2,153,331,216
  5. Step 5: Solve for x
    x = 2,153,331,216/20,869.50
  6. Step 6: Final answer
    x = 103,180.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.