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Finding the Third Proportional to 145,690 and 225,005

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Solution

The third proportional to 145,690 and 225,005 is: 347,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690 : 225,005 = 225,005 : x
  2. Step 2: Convert to fraction form
    145,690/225,005 = 225,005/x
  3. Step 3: Cross multiply
    145,690x = 225,005 × 225,005
  4. Step 4: Simplify right side
    145,690x = 50,627,250,025
  5. Step 5: Solve for x
    x = 50,627,250,025/145,690
  6. Step 6: Final answer
    x = 347,499.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.