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Finding the Third Proportional to 324,123 and 490,656

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Solution

The third proportional to 324,123 and 490,656 is: 742,752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,123 : 490,656 = 490,656 : x
  2. Step 2: Convert to fraction form
    324,123/490,656 = 490,656/x
  3. Step 3: Cross multiply
    324,123x = 490,656 × 490,656
  4. Step 4: Simplify right side
    324,123x = 240,743,310,336
  5. Step 5: Solve for x
    x = 240,743,310,336/324,123
  6. Step 6: Final answer
    x = 742,752.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.