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Finding the Third Proportional to 179,529 and 278,773.50

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Solution

The third proportional to 179,529 and 278,773.50 is: 432,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,529 : 278,773.50 = 278,773.50 : x
  2. Step 2: Convert to fraction form
    179,529/278,773.50 = 278,773.50/x
  3. Step 3: Cross multiply
    179,529x = 278,773.50 × 278,773.50
  4. Step 4: Simplify right side
    179,529x = 77,714,664,302.25
  5. Step 5: Solve for x
    x = 77,714,664,302.25/179,529
  6. Step 6: Final answer
    x = 432,880.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.