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Finding the Third Proportional to 3,462.19 and 8,126.44

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Solution

The third proportional to 3,462.19 and 8,126.44 is: 19,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.19 : 8,126.44 = 8,126.44 : x
  2. Step 2: Convert to fraction form
    3,462.19/8,126.44 = 8,126.44/x
  3. Step 3: Cross multiply
    3,462.19x = 8,126.44 × 8,126.44
  4. Step 4: Simplify right side
    3,462.19x = 66,038,986.44
  5. Step 5: Solve for x
    x = 66,038,986.44/3,462.19
  6. Step 6: Final answer
    x = 19,074.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.