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Finding the Third Proportional to 324,050 and 490,395

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Solution

The third proportional to 324,050 and 490,395 is: 742,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,050 : 490,395 = 490,395 : x
  2. Step 2: Convert to fraction form
    324,050/490,395 = 490,395/x
  3. Step 3: Cross multiply
    324,050x = 490,395 × 490,395
  4. Step 4: Simplify right side
    324,050x = 240,487,256,025
  5. Step 5: Solve for x
    x = 240,487,256,025/324,050
  6. Step 6: Final answer
    x = 742,130.09

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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.