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Finding the Third Proportional to 300,931 and 457,307

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Solution

The third proportional to 300,931 and 457,307 is: 694,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,931 : 457,307 = 457,307 : x
  2. Step 2: Convert to fraction form
    300,931/457,307 = 457,307/x
  3. Step 3: Cross multiply
    300,931x = 457,307 × 457,307
  4. Step 4: Simplify right side
    300,931x = 209,129,692,249
  5. Step 5: Solve for x
    x = 209,129,692,249/300,931
  6. Step 6: Final answer
    x = 694,942.34

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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.