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Finding the Third Proportional to 109,158 and 149,373

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Solution

The third proportional to 109,158 and 149,373 is: 204,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,158 : 149,373 = 149,373 : x
  2. Step 2: Convert to fraction form
    109,158/149,373 = 149,373/x
  3. Step 3: Cross multiply
    109,158x = 149,373 × 149,373
  4. Step 4: Simplify right side
    109,158x = 22,312,293,129
  5. Step 5: Solve for x
    x = 22,312,293,129/109,158
  6. Step 6: Final answer
    x = 204,403.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.