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Finding the Third Proportional to 321,024 and 490,086

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Solution

The third proportional to 321,024 and 490,086 is: 748,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,024 : 490,086 = 490,086 : x
  2. Step 2: Convert to fraction form
    321,024/490,086 = 490,086/x
  3. Step 3: Cross multiply
    321,024x = 490,086 × 490,086
  4. Step 4: Simplify right side
    321,024x = 240,184,287,396
  5. Step 5: Solve for x
    x = 240,184,287,396/321,024
  6. Step 6: Final answer
    x = 748,181.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.