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Finding the Third Proportional to 245,256 and 379,908

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Solution

The third proportional to 245,256 and 379,908 is: 588,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,256 : 379,908 = 379,908 : x
  2. Step 2: Convert to fraction form
    245,256/379,908 = 379,908/x
  3. Step 3: Cross multiply
    245,256x = 379,908 × 379,908
  4. Step 4: Simplify right side
    245,256x = 144,330,088,464
  5. Step 5: Solve for x
    x = 144,330,088,464/245,256
  6. Step 6: Final answer
    x = 588,487.49

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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.