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Finding the Third Proportional to 19,969 and 28,258

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Solution

The third proportional to 19,969 and 28,258 is: 39,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969 : 28,258 = 28,258 : x
  2. Step 2: Convert to fraction form
    19,969/28,258 = 28,258/x
  3. Step 3: Cross multiply
    19,969x = 28,258 × 28,258
  4. Step 4: Simplify right side
    19,969x = 798,514,564
  5. Step 5: Solve for x
    x = 798,514,564/19,969
  6. Step 6: Final answer
    x = 39,987.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.