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Finding the Third Proportional to 299,711 and 642,172

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Solution

The third proportional to 299,711 and 642,172 is: 1,375,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,711 : 642,172 = 642,172 : x
  2. Step 2: Convert to fraction form
    299,711/642,172 = 642,172/x
  3. Step 3: Cross multiply
    299,711x = 642,172 × 642,172
  4. Step 4: Simplify right side
    299,711x = 412,384,877,584
  5. Step 5: Solve for x
    x = 412,384,877,584/299,711
  6. Step 6: Final answer
    x = 1,375,941.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.