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Finding the Third Proportional to 245,205 and 329,517

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Solution

The third proportional to 245,205 and 329,517 is: 442,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,205 : 329,517 = 329,517 : x
  2. Step 2: Convert to fraction form
    245,205/329,517 = 329,517/x
  3. Step 3: Cross multiply
    245,205x = 329,517 × 329,517
  4. Step 4: Simplify right side
    245,205x = 108,581,453,289
  5. Step 5: Solve for x
    x = 108,581,453,289/245,205
  6. Step 6: Final answer
    x = 442,819.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.