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Finding the Third Proportional to 307,848 and 445,452

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Solution

The third proportional to 307,848 and 445,452 is: 644,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,848 : 445,452 = 445,452 : x
  2. Step 2: Convert to fraction form
    307,848/445,452 = 445,452/x
  3. Step 3: Cross multiply
    307,848x = 445,452 × 445,452
  4. Step 4: Simplify right side
    307,848x = 198,427,484,304
  5. Step 5: Solve for x
    x = 198,427,484,304/307,848
  6. Step 6: Final answer
    x = 644,563.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.