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Finding the Third Proportional to 20,400 and 29,809.50

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Solution

The third proportional to 20,400 and 29,809.50 is: 43,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400 : 29,809.50 = 29,809.50 : x
  2. Step 2: Convert to fraction form
    20,400/29,809.50 = 29,809.50/x
  3. Step 3: Cross multiply
    20,400x = 29,809.50 × 29,809.50
  4. Step 4: Simplify right side
    20,400x = 888,606,290.25
  5. Step 5: Solve for x
    x = 888,606,290.25/20,400
  6. Step 6: Final answer
    x = 43,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.