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Finding the Third Proportional to 323,775 and 490,178

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Solution

The third proportional to 323,775 and 490,178 is: 742,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,775 : 490,178 = 490,178 : x
  2. Step 2: Convert to fraction form
    323,775/490,178 = 490,178/x
  3. Step 3: Cross multiply
    323,775x = 490,178 × 490,178
  4. Step 4: Simplify right side
    323,775x = 240,274,471,684
  5. Step 5: Solve for x
    x = 240,274,471,684/323,775
  6. Step 6: Final answer
    x = 742,103.23

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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.