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Finding the Third Proportional to 207,512 and 329,408

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Solution

The third proportional to 207,512 and 329,408 is: 522,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,512 : 329,408 = 329,408 : x
  2. Step 2: Convert to fraction form
    207,512/329,408 = 329,408/x
  3. Step 3: Cross multiply
    207,512x = 329,408 × 329,408
  4. Step 4: Simplify right side
    207,512x = 108,509,630,464
  5. Step 5: Solve for x
    x = 108,509,630,464/207,512
  6. Step 6: Final answer
    x = 522,907.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.