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Finding the Third Proportional to 299,380 and 645,416

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Solution

The third proportional to 299,380 and 645,416 is: 1,391,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380 : 645,416 = 645,416 : x
  2. Step 2: Convert to fraction form
    299,380/645,416 = 645,416/x
  3. Step 3: Cross multiply
    299,380x = 645,416 × 645,416
  4. Step 4: Simplify right side
    299,380x = 416,561,813,056
  5. Step 5: Solve for x
    x = 416,561,813,056/299,380
  6. Step 6: Final answer
    x = 1,391,414.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.