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Finding the Third Proportional to 8,370 and 12,423

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Solution

The third proportional to 8,370 and 12,423 is: 18,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 12,423 = 12,423 : x
  2. Step 2: Convert to fraction form
    8,370/12,423 = 12,423/x
  3. Step 3: Cross multiply
    8,370x = 12,423 × 12,423
  4. Step 4: Simplify right side
    8,370x = 154,330,929
  5. Step 5: Solve for x
    x = 154,330,929/8,370
  6. Step 6: Final answer
    x = 18,438.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.