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Finding the Third Proportional to 245,168 and 381,189

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Solution

The third proportional to 245,168 and 381,189 is: 592,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,168 : 381,189 = 381,189 : x
  2. Step 2: Convert to fraction form
    245,168/381,189 = 381,189/x
  3. Step 3: Cross multiply
    245,168x = 381,189 × 381,189
  4. Step 4: Simplify right side
    245,168x = 145,305,053,721
  5. Step 5: Solve for x
    x = 145,305,053,721/245,168
  6. Step 6: Final answer
    x = 592,675.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.