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Finding the Third Proportional to 323,844 and 490,284

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Solution

The third proportional to 323,844 and 490,284 is: 742,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,844 : 490,284 = 490,284 : x
  2. Step 2: Convert to fraction form
    323,844/490,284 = 490,284/x
  3. Step 3: Cross multiply
    323,844x = 490,284 × 490,284
  4. Step 4: Simplify right side
    323,844x = 240,378,400,656
  5. Step 5: Solve for x
    x = 240,378,400,656/323,844
  6. Step 6: Final answer
    x = 742,266.03

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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.