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Finding the Third Proportional to 300,926 and 457,299

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Solution

The third proportional to 300,926 and 457,299 is: 694,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,926 : 457,299 = 457,299 : x
  2. Step 2: Convert to fraction form
    300,926/457,299 = 457,299/x
  3. Step 3: Cross multiply
    300,926x = 457,299 × 457,299
  4. Step 4: Simplify right side
    300,926x = 209,122,375,401
  5. Step 5: Solve for x
    x = 209,122,375,401/300,926
  6. Step 6: Final answer
    x = 694,929.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.