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Finding the Third Proportional to 12,408 and 19,670

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Solution

The third proportional to 12,408 and 19,670 is: 31,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408 : 19,670 = 19,670 : x
  2. Step 2: Convert to fraction form
    12,408/19,670 = 19,670/x
  3. Step 3: Cross multiply
    12,408x = 19,670 × 19,670
  4. Step 4: Simplify right side
    12,408x = 386,908,900
  5. Step 5: Solve for x
    x = 386,908,900/12,408
  6. Step 6: Final answer
    x = 31,182.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.