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Finding the Third Proportional to 78,409 and 119,456

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Solution

The third proportional to 78,409 and 119,456 is: 181,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409 : 119,456 = 119,456 : x
  2. Step 2: Convert to fraction form
    78,409/119,456 = 119,456/x
  3. Step 3: Cross multiply
    78,409x = 119,456 × 119,456
  4. Step 4: Simplify right side
    78,409x = 14,269,735,936
  5. Step 5: Solve for x
    x = 14,269,735,936/78,409
  6. Step 6: Final answer
    x = 181,991.05

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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.