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Finding the Third Proportional to 12,458 and 20,631

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Solution

The third proportional to 12,458 and 20,631 is: 34,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458 : 20,631 = 20,631 : x
  2. Step 2: Convert to fraction form
    12,458/20,631 = 20,631/x
  3. Step 3: Cross multiply
    12,458x = 20,631 × 20,631
  4. Step 4: Simplify right side
    12,458x = 425,638,161
  5. Step 5: Solve for x
    x = 425,638,161/12,458
  6. Step 6: Final answer
    x = 34,165.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.