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Finding the Third Proportional to 178,891,434 and 378,408,806

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Solution

The third proportional to 178,891,434 and 378,408,806 is: 800,447,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891,434 : 378,408,806 = 378,408,806 : x
  2. Step 2: Convert to fraction form
    178,891,434/378,408,806 = 378,408,806/x
  3. Step 3: Cross multiply
    178,891,434x = 378,408,806 × 378,408,806
  4. Step 4: Simplify right side
    178,891,434x = 143,193,224,458,345,632
  5. Step 5: Solve for x
    x = 143,193,224,458,345,632/178,891,434
  6. Step 6: Final answer
    x = 800,447,630.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.