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Finding the Third Proportional to 178,249.50 and 278,311.50

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Solution

The third proportional to 178,249.50 and 278,311.50 is: 434,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,249.50 : 278,311.50 = 278,311.50 : x
  2. Step 2: Convert to fraction form
    178,249.50/278,311.50 = 278,311.50/x
  3. Step 3: Cross multiply
    178,249.50x = 278,311.50 × 278,311.50
  4. Step 4: Simplify right side
    178,249.50x = 77,457,291,032.25
  5. Step 5: Solve for x
    x = 77,457,291,032.25/178,249.50
  6. Step 6: Final answer
    x = 434,544.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.