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Finding the Third Proportional to 82,324,318.50 and 178,996,996.50

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Solution

The third proportional to 82,324,318.50 and 178,996,996.50 is: 389,191,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324,318.50 : 178,996,996.50 = 178,996,996.50 : x
  2. Step 2: Convert to fraction form
    82,324,318.50/178,996,996.50 = 178,996,996.50/x
  3. Step 3: Cross multiply
    82,324,318.50x = 178,996,996.50 × 178,996,996.50
  4. Step 4: Simplify right side
    82,324,318.50x = 32,039,924,756,021,012
  5. Step 5: Solve for x
    x = 32,039,924,756,021,012/82,324,318.50
  6. Step 6: Final answer
    x = 389,191,496.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.