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Finding the Third Proportional to 38,516 and 82,774

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Solution

The third proportional to 38,516 and 82,774 is: 177,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516 : 82,774 = 82,774 : x
  2. Step 2: Convert to fraction form
    38,516/82,774 = 82,774/x
  3. Step 3: Cross multiply
    38,516x = 82,774 × 82,774
  4. Step 4: Simplify right side
    38,516x = 6,851,535,076
  5. Step 5: Solve for x
    x = 6,851,535,076/38,516
  6. Step 6: Final answer
    x = 177,888.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.