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Finding the Third Proportional to 178,891,432 and 378,408,802

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Solution

The third proportional to 178,891,432 and 378,408,802 is: 800,447,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891,432 : 378,408,802 = 378,408,802 : x
  2. Step 2: Convert to fraction form
    178,891,432/378,408,802 = 378,408,802/x
  3. Step 3: Cross multiply
    178,891,432x = 378,408,802 × 378,408,802
  4. Step 4: Simplify right side
    178,891,432x = 143,193,221,431,075,200
  5. Step 5: Solve for x
    x = 143,193,221,431,075,200/178,891,432
  6. Step 6: Final answer
    x = 800,447,622.51

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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.