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Finding the Third Proportional to 178,891,429.50 and 378,408,798

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Solution

The third proportional to 178,891,429.50 and 378,408,798 is: 800,447,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891,429.50 : 378,408,798 = 378,408,798 : x
  2. Step 2: Convert to fraction form
    178,891,429.50/378,408,798 = 378,408,798/x
  3. Step 3: Cross multiply
    178,891,429.50x = 378,408,798 × 378,408,798
  4. Step 4: Simplify right side
    178,891,429.50x = 143,193,218,403,804,800
  5. Step 5: Solve for x
    x = 143,193,218,403,804,800/178,891,429.50
  6. Step 6: Final answer
    x = 800,447,616.77

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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.