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Finding the Third Proportional to 19,913 and 31,079

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Solution

The third proportional to 19,913 and 31,079 is: 48,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913 : 31,079 = 31,079 : x
  2. Step 2: Convert to fraction form
    19,913/31,079 = 31,079/x
  3. Step 3: Cross multiply
    19,913x = 31,079 × 31,079
  4. Step 4: Simplify right side
    19,913x = 965,904,241
  5. Step 5: Solve for x
    x = 965,904,241/19,913
  6. Step 6: Final answer
    x = 48,506.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.