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Finding the Third Proportional to 38,078,752 and 82,217,155

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Solution

The third proportional to 38,078,752 and 82,217,155 is: 177,517,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078,752 : 82,217,155 = 82,217,155 : x
  2. Step 2: Convert to fraction form
    38,078,752/82,217,155 = 82,217,155/x
  3. Step 3: Cross multiply
    38,078,752x = 82,217,155 × 82,217,155
  4. Step 4: Simplify right side
    38,078,752x = 6,759,660,576,294,025
  5. Step 5: Solve for x
    x = 6,759,660,576,294,025/38,078,752
  6. Step 6: Final answer
    x = 177,517,912.78

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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.