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Finding the Third Proportional to 80,970,638 and 176,317,154

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Solution

The third proportional to 80,970,638 and 176,317,154 is: 383,938,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970,638 : 176,317,154 = 176,317,154 : x
  2. Step 2: Convert to fraction form
    80,970,638/176,317,154 = 176,317,154/x
  3. Step 3: Cross multiply
    80,970,638x = 176,317,154 × 176,317,154
  4. Step 4: Simplify right side
    80,970,638x = 31,087,738,794,659,716
  5. Step 5: Solve for x
    x = 31,087,738,794,659,716/80,970,638
  6. Step 6: Final answer
    x = 383,938,419.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.