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Finding the Third Proportional to 82,203,635 and 178,878,467

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Solution

The third proportional to 82,203,635 and 178,878,467 is: 389,246,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203,635 : 178,878,467 = 178,878,467 : x
  2. Step 2: Convert to fraction form
    82,203,635/178,878,467 = 178,878,467/x
  3. Step 3: Cross multiply
    82,203,635x = 178,878,467 × 178,878,467
  4. Step 4: Simplify right side
    82,203,635x = 31,997,505,956,270,088
  5. Step 5: Solve for x
    x = 31,997,505,956,270,088/82,203,635
  6. Step 6: Final answer
    x = 389,246,849.68

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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.