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Finding the Third Proportional to 324,113 and 490,642

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Solution

The third proportional to 324,113 and 490,642 is: 742,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,113 : 490,642 = 490,642 : x
  2. Step 2: Convert to fraction form
    324,113/490,642 = 490,642/x
  3. Step 3: Cross multiply
    324,113x = 490,642 × 490,642
  4. Step 4: Simplify right side
    324,113x = 240,729,572,164
  5. Step 5: Solve for x
    x = 240,729,572,164/324,113
  6. Step 6: Final answer
    x = 742,733.47

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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.