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Finding the Third Proportional to 409,218 and 620,145

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Solution

The third proportional to 409,218 and 620,145 is: 939,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,218 : 620,145 = 620,145 : x
  2. Step 2: Convert to fraction form
    409,218/620,145 = 620,145/x
  3. Step 3: Cross multiply
    409,218x = 620,145 × 620,145
  4. Step 4: Simplify right side
    409,218x = 384,579,821,025
  5. Step 5: Solve for x
    x = 384,579,821,025/409,218
  6. Step 6: Final answer
    x = 939,792.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.