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Finding the Third Proportional to 80,930,415 and 178,003,352

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Solution

The third proportional to 80,930,415 and 178,003,352 is: 391,511,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,930,415 : 178,003,352 = 178,003,352 : x
  2. Step 2: Convert to fraction form
    80,930,415/178,003,352 = 178,003,352/x
  3. Step 3: Cross multiply
    80,930,415x = 178,003,352 × 178,003,352
  4. Step 4: Simplify right side
    80,930,415x = 31,685,193,323,235,904
  5. Step 5: Solve for x
    x = 31,685,193,323,235,904/80,930,415
  6. Step 6: Final answer
    x = 391,511,563.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.