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Finding the Third Proportional to 299,162 and 654,640

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Solution

The third proportional to 299,162 and 654,640 is: 1,432,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,162 : 654,640 = 654,640 : x
  2. Step 2: Convert to fraction form
    299,162/654,640 = 654,640/x
  3. Step 3: Cross multiply
    299,162x = 654,640 × 654,640
  4. Step 4: Simplify right side
    299,162x = 428,553,529,600
  5. Step 5: Solve for x
    x = 428,553,529,600/299,162
  6. Step 6: Final answer
    x = 1,432,513.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.