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Finding the Third Proportional to 72,198 and 115,209

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Solution

The third proportional to 72,198 and 115,209 is: 183,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198 : 115,209 = 115,209 : x
  2. Step 2: Convert to fraction form
    72,198/115,209 = 115,209/x
  3. Step 3: Cross multiply
    72,198x = 115,209 × 115,209
  4. Step 4: Simplify right side
    72,198x = 13,273,113,681
  5. Step 5: Solve for x
    x = 13,273,113,681/72,198
  6. Step 6: Final answer
    x = 183,843.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.