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Finding the Third Proportional to 299,714 and 642,178

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Solution

The third proportional to 299,714 and 642,178 is: 1,375,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,714 : 642,178 = 642,178 : x
  2. Step 2: Convert to fraction form
    299,714/642,178 = 642,178/x
  3. Step 3: Cross multiply
    299,714x = 642,178 × 642,178
  4. Step 4: Simplify right side
    299,714x = 412,392,583,684
  5. Step 5: Solve for x
    x = 412,392,583,684/299,714
  6. Step 6: Final answer
    x = 1,375,953.69

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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.