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Finding the Third Proportional to 439,309 and 959,172

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Solution

The third proportional to 439,309 and 959,172 is: 2,094,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,309 : 959,172 = 959,172 : x
  2. Step 2: Convert to fraction form
    439,309/959,172 = 959,172/x
  3. Step 3: Cross multiply
    439,309x = 959,172 × 959,172
  4. Step 4: Simplify right side
    439,309x = 920,010,925,584
  5. Step 5: Solve for x
    x = 920,010,925,584/439,309
  6. Step 6: Final answer
    x = 2,094,222.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.