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Finding the Third Proportional to 307,566 and 665,661

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Solution

The third proportional to 307,566 and 665,661 is: 1,440,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,566 : 665,661 = 665,661 : x
  2. Step 2: Convert to fraction form
    307,566/665,661 = 665,661/x
  3. Step 3: Cross multiply
    307,566x = 665,661 × 665,661
  4. Step 4: Simplify right side
    307,566x = 443,104,566,921
  5. Step 5: Solve for x
    x = 443,104,566,921/307,566
  6. Step 6: Final answer
    x = 1,440,681.24

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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.