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Finding the Third Proportional to 78,774 and 119,616

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Solution

The third proportional to 78,774 and 119,616 is: 181,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774 : 119,616 = 119,616 : x
  2. Step 2: Convert to fraction form
    78,774/119,616 = 119,616/x
  3. Step 3: Cross multiply
    78,774x = 119,616 × 119,616
  4. Step 4: Simplify right side
    78,774x = 14,307,987,456
  5. Step 5: Solve for x
    x = 14,307,987,456/78,774
  6. Step 6: Final answer
    x = 181,633.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.