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Finding the Third Proportional to 82,324,315 and 178,996,989

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Solution

The third proportional to 82,324,315 and 178,996,989 is: 389,191,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324,315 : 178,996,989 = 178,996,989 : x
  2. Step 2: Convert to fraction form
    82,324,315/178,996,989 = 178,996,989/x
  3. Step 3: Cross multiply
    82,324,315x = 178,996,989 × 178,996,989
  4. Step 4: Simplify right side
    82,324,315x = 32,039,922,071,066,120
  5. Step 5: Solve for x
    x = 32,039,922,071,066,120/82,324,315
  6. Step 6: Final answer
    x = 389,191,480.93

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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.