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Finding the Third Proportional to 16,405 and 35,403

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Solution

The third proportional to 16,405 and 35,403 is: 76,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405 : 35,403 = 35,403 : x
  2. Step 2: Convert to fraction form
    16,405/35,403 = 35,403/x
  3. Step 3: Cross multiply
    16,405x = 35,403 × 35,403
  4. Step 4: Simplify right side
    16,405x = 1,253,372,409
  5. Step 5: Solve for x
    x = 1,253,372,409/16,405
  6. Step 6: Final answer
    x = 76,401.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.