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Finding the Third Proportional to 19,862 and 31,619

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Solution

The third proportional to 19,862 and 31,619 is: 50,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862 : 31,619 = 31,619 : x
  2. Step 2: Convert to fraction form
    19,862/31,619 = 31,619/x
  3. Step 3: Cross multiply
    19,862x = 31,619 × 31,619
  4. Step 4: Simplify right side
    19,862x = 999,761,161
  5. Step 5: Solve for x
    x = 999,761,161/19,862
  6. Step 6: Final answer
    x = 50,335.37

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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.