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Finding the Third Proportional to 145,138.50 and 219,894.75

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Solution

The third proportional to 145,138.50 and 219,894.75 is: 333,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138.50 : 219,894.75 = 219,894.75 : x
  2. Step 2: Convert to fraction form
    145,138.50/219,894.75 = 219,894.75/x
  3. Step 3: Cross multiply
    145,138.50x = 219,894.75 × 219,894.75
  4. Step 4: Simplify right side
    145,138.50x = 48,353,701,077.56
  5. Step 5: Solve for x
    x = 48,353,701,077.56/145,138.50
  6. Step 6: Final answer
    x = 333,155.58

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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.