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Finding the Third Proportional to 82,753,720 and 178,671,766

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Solution

The third proportional to 82,753,720 and 178,671,766 is: 385,766,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,753,720 : 178,671,766 = 178,671,766 : x
  2. Step 2: Convert to fraction form
    82,753,720/178,671,766 = 178,671,766/x
  3. Step 3: Cross multiply
    82,753,720x = 178,671,766 × 178,671,766
  4. Step 4: Simplify right side
    82,753,720x = 31,923,599,965,558,756
  5. Step 5: Solve for x
    x = 31,923,599,965,558,756/82,753,720
  6. Step 6: Final answer
    x = 385,766,343.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.