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Finding the Third Proportional to 273,519,425,448 and 594,123,680,286

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Solution

The third proportional to 273,519,425,448 and 594,123,680,286 is: 1,290,522,407,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,519,425,448 : 594,123,680,286 = 594,123,680,286 : x
  2. Step 2: Convert to fraction form
    273,519,425,448/594,123,680,286 = 594,123,680,286/x
  3. Step 3: Cross multiply
    273,519,425,448x = 594,123,680,286 × 594,123,680,286
  4. Step 4: Simplify right side
    273,519,425,448x = 352,982,947,476,581,115,756,544
  5. Step 5: Solve for x
    x = 352,982,947,476,581,115,756,544/273,519,425,448
  6. Step 6: Final answer
    x = 1,290,522,407,680.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.