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Finding the Third Proportional to 409,757 and 620,349

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Solution

The third proportional to 409,757 and 620,349 is: 939,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,757 : 620,349 = 620,349 : x
  2. Step 2: Convert to fraction form
    409,757/620,349 = 620,349/x
  3. Step 3: Cross multiply
    409,757x = 620,349 × 620,349
  4. Step 4: Simplify right side
    409,757x = 384,832,881,801
  5. Step 5: Solve for x
    x = 384,832,881,801/409,757
  6. Step 6: Final answer
    x = 939,173.42

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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.