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Finding the Third Proportional to 89,124 and 190,278

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Solution

The third proportional to 89,124 and 190,278 is: 406,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,124 : 190,278 = 190,278 : x
  2. Step 2: Convert to fraction form
    89,124/190,278 = 190,278/x
  3. Step 3: Cross multiply
    89,124x = 190,278 × 190,278
  4. Step 4: Simplify right side
    89,124x = 36,205,717,284
  5. Step 5: Solve for x
    x = 36,205,717,284/89,124
  6. Step 6: Final answer
    x = 406,239.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.