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Finding the Third Proportional to 19,989 and 31,186

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Solution

The third proportional to 19,989 and 31,186 is: 48,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989 : 31,186 = 31,186 : x
  2. Step 2: Convert to fraction form
    19,989/31,186 = 31,186/x
  3. Step 3: Cross multiply
    19,989x = 31,186 × 31,186
  4. Step 4: Simplify right side
    19,989x = 972,566,596
  5. Step 5: Solve for x
    x = 972,566,596/19,989
  6. Step 6: Final answer
    x = 48,655.09

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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.