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Finding the Third Proportional to 324,900 and 474,678

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Solution

The third proportional to 324,900 and 474,678 is: 693,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,900 : 474,678 = 474,678 : x
  2. Step 2: Convert to fraction form
    324,900/474,678 = 474,678/x
  3. Step 3: Cross multiply
    324,900x = 474,678 × 474,678
  4. Step 4: Simplify right side
    324,900x = 225,319,203,684
  5. Step 5: Solve for x
    x = 225,319,203,684/324,900
  6. Step 6: Final answer
    x = 693,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.