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Finding the Third Proportional to 451,318 and 980,324

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Solution

The third proportional to 451,318 and 980,324 is: 2,129,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,318 : 980,324 = 980,324 : x
  2. Step 2: Convert to fraction form
    451,318/980,324 = 980,324/x
  3. Step 3: Cross multiply
    451,318x = 980,324 × 980,324
  4. Step 4: Simplify right side
    451,318x = 961,035,144,976
  5. Step 5: Solve for x
    x = 961,035,144,976/451,318
  6. Step 6: Final answer
    x = 2,129,396.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.