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Finding the Third Proportional to 145,198 and 219,986

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Solution

The third proportional to 145,198 and 219,986 is: 333,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,198 : 219,986 = 219,986 : x
  2. Step 2: Convert to fraction form
    145,198/219,986 = 219,986/x
  3. Step 3: Cross multiply
    145,198x = 219,986 × 219,986
  4. Step 4: Simplify right side
    145,198x = 48,393,840,196
  5. Step 5: Solve for x
    x = 48,393,840,196/145,198
  6. Step 6: Final answer
    x = 333,295.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.