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Finding the Third Proportional to 147,879 and 231,678

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Solution

The third proportional to 147,879 and 231,678 is: 362,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,879 : 231,678 = 231,678 : x
  2. Step 2: Convert to fraction form
    147,879/231,678 = 231,678/x
  3. Step 3: Cross multiply
    147,879x = 231,678 × 231,678
  4. Step 4: Simplify right side
    147,879x = 53,674,695,684
  5. Step 5: Solve for x
    x = 53,674,695,684/147,879
  6. Step 6: Final answer
    x = 362,963.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.