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Finding the Third Proportional to 12,458 and 19,811

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Solution

The third proportional to 12,458 and 19,811 is: 31,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458 : 19,811 = 19,811 : x
  2. Step 2: Convert to fraction form
    12,458/19,811 = 19,811/x
  3. Step 3: Cross multiply
    12,458x = 19,811 × 19,811
  4. Step 4: Simplify right side
    12,458x = 392,475,721
  5. Step 5: Solve for x
    x = 392,475,721/12,458
  6. Step 6: Final answer
    x = 31,503.91

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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.