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Finding the Third Proportional to 299,115 and 650,718

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Solution

The third proportional to 299,115 and 650,718 is: 1,415,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,115 : 650,718 = 650,718 : x
  2. Step 2: Convert to fraction form
    299,115/650,718 = 650,718/x
  3. Step 3: Cross multiply
    299,115x = 650,718 × 650,718
  4. Step 4: Simplify right side
    299,115x = 423,433,915,524
  5. Step 5: Solve for x
    x = 423,433,915,524/299,115
  6. Step 6: Final answer
    x = 1,415,622.47

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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.