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Finding the Third Proportional to 8,140 and 19,934

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Solution

The third proportional to 8,140 and 19,934 is: 48,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 19,934 = 19,934 : x
  2. Step 2: Convert to fraction form
    8,140/19,934 = 19,934/x
  3. Step 3: Cross multiply
    8,140x = 19,934 × 19,934
  4. Step 4: Simplify right side
    8,140x = 397,364,356
  5. Step 5: Solve for x
    x = 397,364,356/8,140
  6. Step 6: Final answer
    x = 48,816.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.