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Finding the Third Proportional to 20,894 and 45,740

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Solution

The third proportional to 20,894 and 45,740 is: 100,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894 : 45,740 = 45,740 : x
  2. Step 2: Convert to fraction form
    20,894/45,740 = 45,740/x
  3. Step 3: Cross multiply
    20,894x = 45,740 × 45,740
  4. Step 4: Simplify right side
    20,894x = 2,092,147,600
  5. Step 5: Solve for x
    x = 2,092,147,600/20,894
  6. Step 6: Final answer
    x = 100,131.50

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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.