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Finding the Third Proportional to 403,512 and 624,408

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Solution

The third proportional to 403,512 and 624,408 is: 966,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,512 : 624,408 = 624,408 : x
  2. Step 2: Convert to fraction form
    403,512/624,408 = 624,408/x
  3. Step 3: Cross multiply
    403,512x = 624,408 × 624,408
  4. Step 4: Simplify right side
    403,512x = 389,885,350,464
  5. Step 5: Solve for x
    x = 389,885,350,464/403,512
  6. Step 6: Final answer
    x = 966,229.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.