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Finding the Third Proportional to 399,297 and 603,105

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Solution

The third proportional to 399,297 and 603,105 is: 910,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,297 : 603,105 = 603,105 : x
  2. Step 2: Convert to fraction form
    399,297/603,105 = 603,105/x
  3. Step 3: Cross multiply
    399,297x = 603,105 × 603,105
  4. Step 4: Simplify right side
    399,297x = 363,735,641,025
  5. Step 5: Solve for x
    x = 363,735,641,025/399,297
  6. Step 6: Final answer
    x = 910,940.08

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