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Finding the Third Proportional to 307,538 and 665,620

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Solution

The third proportional to 307,538 and 665,620 is: 1,440,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538 : 665,620 = 665,620 : x
  2. Step 2: Convert to fraction form
    307,538/665,620 = 665,620/x
  3. Step 3: Cross multiply
    307,538x = 665,620 × 665,620
  4. Step 4: Simplify right side
    307,538x = 443,049,984,400
  5. Step 5: Solve for x
    x = 443,049,984,400/307,538
  6. Step 6: Final answer
    x = 1,440,634.93

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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.