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Finding the Third Proportional to 20,402 and 28,733

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Solution

The third proportional to 20,402 and 28,733 is: 40,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 28,733 = 28,733 : x
  2. Step 2: Convert to fraction form
    20,402/28,733 = 28,733/x
  3. Step 3: Cross multiply
    20,402x = 28,733 × 28,733
  4. Step 4: Simplify right side
    20,402x = 825,585,289
  5. Step 5: Solve for x
    x = 825,585,289/20,402
  6. Step 6: Final answer
    x = 40,465.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.