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Finding the Third Proportional to 8,138.25 and 16,708.50

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Solution

The third proportional to 8,138.25 and 16,708.50 is: 34,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.25 : 16,708.50 = 16,708.50 : x
  2. Step 2: Convert to fraction form
    8,138.25/16,708.50 = 16,708.50/x
  3. Step 3: Cross multiply
    8,138.25x = 16,708.50 × 16,708.50
  4. Step 4: Simplify right side
    8,138.25x = 279,173,972.25
  5. Step 5: Solve for x
    x = 279,173,972.25/8,138.25
  6. Step 6: Final answer
    x = 34,303.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.