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Finding the Third Proportional to 208,408 and 322,512

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Solution

The third proportional to 208,408 and 322,512 is: 499,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,408 : 322,512 = 322,512 : x
  2. Step 2: Convert to fraction form
    208,408/322,512 = 322,512/x
  3. Step 3: Cross multiply
    208,408x = 322,512 × 322,512
  4. Step 4: Simplify right side
    208,408x = 104,013,990,144
  5. Step 5: Solve for x
    x = 104,013,990,144/208,408
  6. Step 6: Final answer
    x = 499,088.28

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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.