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Finding the Third Proportional to 434,977 and 665,467

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Solution

The third proportional to 434,977 and 665,467 is: 1,018,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,977 : 665,467 = 665,467 : x
  2. Step 2: Convert to fraction form
    434,977/665,467 = 665,467/x
  3. Step 3: Cross multiply
    434,977x = 665,467 × 665,467
  4. Step 4: Simplify right side
    434,977x = 442,846,328,089
  5. Step 5: Solve for x
    x = 442,846,328,089/434,977
  6. Step 6: Final answer
    x = 1,018,091.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.