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Finding the Third Proportional to 8,421 and 12,633

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Solution

The third proportional to 8,421 and 12,633 is: 18,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421 : 12,633 = 12,633 : x
  2. Step 2: Convert to fraction form
    8,421/12,633 = 12,633/x
  3. Step 3: Cross multiply
    8,421x = 12,633 × 12,633
  4. Step 4: Simplify right side
    8,421x = 159,592,689
  5. Step 5: Solve for x
    x = 159,592,689/8,421
  6. Step 6: Final answer
    x = 18,951.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.