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Finding the Third Proportional to 323,826 and 490,248

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Solution

The third proportional to 323,826 and 490,248 is: 742,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,826 : 490,248 = 490,248 : x
  2. Step 2: Convert to fraction form
    323,826/490,248 = 490,248/x
  3. Step 3: Cross multiply
    323,826x = 490,248 × 490,248
  4. Step 4: Simplify right side
    323,826x = 240,343,101,504
  5. Step 5: Solve for x
    x = 240,343,101,504/323,826
  6. Step 6: Final answer
    x = 742,198.28

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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.