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Finding the Third Proportional to 323,738 and 490,122

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Solution

The third proportional to 323,738 and 490,122 is: 742,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,738 : 490,122 = 490,122 : x
  2. Step 2: Convert to fraction form
    323,738/490,122 = 490,122/x
  3. Step 3: Cross multiply
    323,738x = 490,122 × 490,122
  4. Step 4: Simplify right side
    323,738x = 240,219,574,884
  5. Step 5: Solve for x
    x = 240,219,574,884/323,738
  6. Step 6: Final answer
    x = 742,018.47

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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.