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Finding the Third Proportional to 19,962 and 31,959

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Solution

The third proportional to 19,962 and 31,959 is: 51,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962 : 31,959 = 31,959 : x
  2. Step 2: Convert to fraction form
    19,962/31,959 = 31,959/x
  3. Step 3: Cross multiply
    19,962x = 31,959 × 31,959
  4. Step 4: Simplify right side
    19,962x = 1,021,377,681
  5. Step 5: Solve for x
    x = 1,021,377,681/19,962
  6. Step 6: Final answer
    x = 51,166.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.