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Finding the Third Proportional to 324,116 and 490,646

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Solution

The third proportional to 324,116 and 490,646 is: 742,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,116 : 490,646 = 490,646 : x
  2. Step 2: Convert to fraction form
    324,116/490,646 = 490,646/x
  3. Step 3: Cross multiply
    324,116x = 490,646 × 490,646
  4. Step 4: Simplify right side
    324,116x = 240,733,497,316
  5. Step 5: Solve for x
    x = 240,733,497,316/324,116
  6. Step 6: Final answer
    x = 742,738.70

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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.