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Finding the Third Proportional to 137,886 and 198,807

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Solution

The third proportional to 137,886 and 198,807 is: 286,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886 : 198,807 = 198,807 : x
  2. Step 2: Convert to fraction form
    137,886/198,807 = 198,807/x
  3. Step 3: Cross multiply
    137,886x = 198,807 × 198,807
  4. Step 4: Simplify right side
    137,886x = 39,524,223,249
  5. Step 5: Solve for x
    x = 39,524,223,249/137,886
  6. Step 6: Final answer
    x = 286,644.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.