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Finding the Third Proportional to 235,489 and 490,905

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Solution

The third proportional to 235,489 and 490,905 is: 1,023,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,489 : 490,905 = 490,905 : x
  2. Step 2: Convert to fraction form
    235,489/490,905 = 490,905/x
  3. Step 3: Cross multiply
    235,489x = 490,905 × 490,905
  4. Step 4: Simplify right side
    235,489x = 240,987,719,025
  5. Step 5: Solve for x
    x = 240,987,719,025/235,489
  6. Step 6: Final answer
    x = 1,023,350.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.