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Finding the Third Proportional to 299,780 and 642,296

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Solution

The third proportional to 299,780 and 642,296 is: 1,376,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780 : 642,296 = 642,296 : x
  2. Step 2: Convert to fraction form
    299,780/642,296 = 642,296/x
  3. Step 3: Cross multiply
    299,780x = 642,296 × 642,296
  4. Step 4: Simplify right side
    299,780x = 412,544,151,616
  5. Step 5: Solve for x
    x = 412,544,151,616/299,780
  6. Step 6: Final answer
    x = 1,376,156.35

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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.