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Finding the Third Proportional to 19,930 and 31,718

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Solution

The third proportional to 19,930 and 31,718 is: 50,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930 : 31,718 = 31,718 : x
  2. Step 2: Convert to fraction form
    19,930/31,718 = 31,718/x
  3. Step 3: Cross multiply
    19,930x = 31,718 × 31,718
  4. Step 4: Simplify right side
    19,930x = 1,006,031,524
  5. Step 5: Solve for x
    x = 1,006,031,524/19,930
  6. Step 6: Final answer
    x = 50,478.25

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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.