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Finding the Third Proportional to 20,408 and 45,202

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Solution

The third proportional to 20,408 and 45,202 is: 100,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408 : 45,202 = 45,202 : x
  2. Step 2: Convert to fraction form
    20,408/45,202 = 45,202/x
  3. Step 3: Cross multiply
    20,408x = 45,202 × 45,202
  4. Step 4: Simplify right side
    20,408x = 2,043,220,804
  5. Step 5: Solve for x
    x = 2,043,220,804/20,408
  6. Step 6: Final answer
    x = 100,118.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.