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Finding the Third Proportional to 8,416 and 19,910

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Solution

The third proportional to 8,416 and 19,910 is: 47,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 19,910 = 19,910 : x
  2. Step 2: Convert to fraction form
    8,416/19,910 = 19,910/x
  3. Step 3: Cross multiply
    8,416x = 19,910 × 19,910
  4. Step 4: Simplify right side
    8,416x = 396,408,100
  5. Step 5: Solve for x
    x = 396,408,100/8,416
  6. Step 6: Final answer
    x = 47,101.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.