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Finding the Third Proportional to 78,405 and 119,450

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Solution

The third proportional to 78,405 and 119,450 is: 181,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405 : 119,450 = 119,450 : x
  2. Step 2: Convert to fraction form
    78,405/119,450 = 119,450/x
  3. Step 3: Cross multiply
    78,405x = 119,450 × 119,450
  4. Step 4: Simplify right side
    78,405x = 14,268,302,500
  5. Step 5: Solve for x
    x = 14,268,302,500/78,405
  6. Step 6: Final answer
    x = 181,982.05

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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.