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Finding the Third Proportional to 287,967 and 619,401

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Solution

The third proportional to 287,967 and 619,401 is: 1,332,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,967 : 619,401 = 619,401 : x
  2. Step 2: Convert to fraction form
    287,967/619,401 = 619,401/x
  3. Step 3: Cross multiply
    287,967x = 619,401 × 619,401
  4. Step 4: Simplify right side
    287,967x = 383,657,598,801
  5. Step 5: Solve for x
    x = 383,657,598,801/287,967
  6. Step 6: Final answer
    x = 1,332,297.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.