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Finding the Third Proportional to 147,990 and 225,678

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Solution

The third proportional to 147,990 and 225,678 is: 344,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,990 : 225,678 = 225,678 : x
  2. Step 2: Convert to fraction form
    147,990/225,678 = 225,678/x
  3. Step 3: Cross multiply
    147,990x = 225,678 × 225,678
  4. Step 4: Simplify right side
    147,990x = 50,930,559,684
  5. Step 5: Solve for x
    x = 50,930,559,684/147,990
  6. Step 6: Final answer
    x = 344,148.66

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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.