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Finding the Third Proportional to 409,549 and 620,048

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Solution

The third proportional to 409,549 and 620,048 is: 938,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,549 : 620,048 = 620,048 : x
  2. Step 2: Convert to fraction form
    409,549/620,048 = 620,048/x
  3. Step 3: Cross multiply
    409,549x = 620,048 × 620,048
  4. Step 4: Simplify right side
    409,549x = 384,459,522,304
  5. Step 5: Solve for x
    x = 384,459,522,304/409,549
  6. Step 6: Final answer
    x = 938,738.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.