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Finding the Third Proportional to 82,203,633 and 178,878,462.75

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Solution

The third proportional to 82,203,633 and 178,878,462.75 is: 389,246,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203,633 : 178,878,462.75 = 178,878,462.75 : x
  2. Step 2: Convert to fraction form
    82,203,633/178,878,462.75 = 178,878,462.75/x
  3. Step 3: Cross multiply
    82,203,633x = 178,878,462.75 × 178,878,462.75
  4. Step 4: Simplify right side
    82,203,633x = 31,997,504,435,803,136
  5. Step 5: Solve for x
    x = 31,997,504,435,803,136/82,203,633
  6. Step 6: Final answer
    x = 389,246,840.66

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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.