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Finding the Third Proportional to 8,426 and 20,417

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Solution

The third proportional to 8,426 and 20,417 is: 49,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426 : 20,417 = 20,417 : x
  2. Step 2: Convert to fraction form
    8,426/20,417 = 20,417/x
  3. Step 3: Cross multiply
    8,426x = 20,417 × 20,417
  4. Step 4: Simplify right side
    8,426x = 416,853,889
  5. Step 5: Solve for x
    x = 416,853,889/8,426
  6. Step 6: Final answer
    x = 49,472.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.