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Finding the Third Proportional to 19,989 and 31,357

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Solution

The third proportional to 19,989 and 31,357 is: 49,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989 : 31,357 = 31,357 : x
  2. Step 2: Convert to fraction form
    19,989/31,357 = 31,357/x
  3. Step 3: Cross multiply
    19,989x = 31,357 × 31,357
  4. Step 4: Simplify right side
    19,989x = 983,261,449
  5. Step 5: Solve for x
    x = 983,261,449/19,989
  6. Step 6: Final answer
    x = 49,190.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.