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Finding the Third Proportional to 12,442 and 18,923

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Solution

The third proportional to 12,442 and 18,923 is: 28,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 18,923 = 18,923 : x
  2. Step 2: Convert to fraction form
    12,442/18,923 = 18,923/x
  3. Step 3: Cross multiply
    12,442x = 18,923 × 18,923
  4. Step 4: Simplify right side
    12,442x = 358,079,929
  5. Step 5: Solve for x
    x = 358,079,929/12,442
  6. Step 6: Final answer
    x = 28,779.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.