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Finding the Third Proportional to 307,536 and 665,616

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Solution

The third proportional to 307,536 and 665,616 is: 1,440,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,536 : 665,616 = 665,616 : x
  2. Step 2: Convert to fraction form
    307,536/665,616 = 665,616/x
  3. Step 3: Cross multiply
    307,536x = 665,616 × 665,616
  4. Step 4: Simplify right side
    307,536x = 443,044,659,456
  5. Step 5: Solve for x
    x = 443,044,659,456/307,536
  6. Step 6: Final answer
    x = 1,440,626.98

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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.