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Finding the Third Proportional to 361,318 and 854,489

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Solution

The third proportional to 361,318 and 854,489 is: 2,020,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,318 : 854,489 = 854,489 : x
  2. Step 2: Convert to fraction form
    361,318/854,489 = 854,489/x
  3. Step 3: Cross multiply
    361,318x = 854,489 × 854,489
  4. Step 4: Simplify right side
    361,318x = 730,151,451,121
  5. Step 5: Solve for x
    x = 730,151,451,121/361,318
  6. Step 6: Final answer
    x = 2,020,800.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.