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Finding the Third Proportional to 8,460.39 and 13,408.19

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Solution

The third proportional to 8,460.39 and 13,408.19 is: 21,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.39 : 13,408.19 = 13,408.19 : x
  2. Step 2: Convert to fraction form
    8,460.39/13,408.19 = 13,408.19/x
  3. Step 3: Cross multiply
    8,460.39x = 13,408.19 × 13,408.19
  4. Step 4: Simplify right side
    8,460.39x = 179,779,544.41
  5. Step 5: Solve for x
    x = 179,779,544.41/8,460.39
  6. Step 6: Final answer
    x = 21,249.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.