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Finding the Third Proportional to 155,039 and 219,439.50

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Solution

The third proportional to 155,039 and 219,439.50 is: 310,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,039 : 219,439.50 = 219,439.50 : x
  2. Step 2: Convert to fraction form
    155,039/219,439.50 = 219,439.50/x
  3. Step 3: Cross multiply
    155,039x = 219,439.50 × 219,439.50
  4. Step 4: Simplify right side
    155,039x = 48,153,694,160.25
  5. Step 5: Solve for x
    x = 48,153,694,160.25/155,039
  6. Step 6: Final answer
    x = 310,590.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.