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Finding the Third Proportional to 324,103.50 and 490,627.13

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Solution

The third proportional to 324,103.50 and 490,627.13 is: 742,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,103.50 : 490,627.13 = 490,627.13 : x
  2. Step 2: Convert to fraction form
    324,103.50/490,627.13 = 490,627.13/x
  3. Step 3: Cross multiply
    324,103.50x = 490,627.13 × 490,627.13
  4. Step 4: Simplify right side
    324,103.50x = 240,714,975,785.77
  5. Step 5: Solve for x
    x = 240,714,975,785.77/324,103.50
  6. Step 6: Final answer
    x = 742,710.20

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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.