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Finding the Third Proportional to 20,400 and 27,457.50

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Solution

The third proportional to 20,400 and 27,457.50 is: 36,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400 : 27,457.50 = 27,457.50 : x
  2. Step 2: Convert to fraction form
    20,400/27,457.50 = 27,457.50/x
  3. Step 3: Cross multiply
    20,400x = 27,457.50 × 27,457.50
  4. Step 4: Simplify right side
    20,400x = 753,914,306.25
  5. Step 5: Solve for x
    x = 753,914,306.25/20,400
  6. Step 6: Final answer
    x = 36,956.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.