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Finding the Third Proportional to 409,554 and 620,055

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Solution

The third proportional to 409,554 and 620,055 is: 938,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,554 : 620,055 = 620,055 : x
  2. Step 2: Convert to fraction form
    409,554/620,055 = 620,055/x
  3. Step 3: Cross multiply
    409,554x = 620,055 × 620,055
  4. Step 4: Simplify right side
    409,554x = 384,468,203,025
  5. Step 5: Solve for x
    x = 384,468,203,025/409,554
  6. Step 6: Final answer
    x = 938,748.50

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Why These Related Problems?

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