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Finding the Third Proportional to 19,702 and 29,917

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Solution

The third proportional to 19,702 and 29,917 is: 45,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702 : 29,917 = 29,917 : x
  2. Step 2: Convert to fraction form
    19,702/29,917 = 29,917/x
  3. Step 3: Cross multiply
    19,702x = 29,917 × 29,917
  4. Step 4: Simplify right side
    19,702x = 895,026,889
  5. Step 5: Solve for x
    x = 895,026,889/19,702
  6. Step 6: Final answer
    x = 45,428.23

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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.