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Finding the Third Proportional to 38,077 and 78,583

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Solution

The third proportional to 38,077 and 78,583 is: 162,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077 : 78,583 = 78,583 : x
  2. Step 2: Convert to fraction form
    38,077/78,583 = 78,583/x
  3. Step 3: Cross multiply
    38,077x = 78,583 × 78,583
  4. Step 4: Simplify right side
    38,077x = 6,175,287,889
  5. Step 5: Solve for x
    x = 6,175,287,889/38,077
  6. Step 6: Final answer
    x = 162,178.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.