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Finding the Third Proportional to 305,945 and 662,728

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Solution

The third proportional to 305,945 and 662,728 is: 1,435,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,945 : 662,728 = 662,728 : x
  2. Step 2: Convert to fraction form
    305,945/662,728 = 662,728/x
  3. Step 3: Cross multiply
    305,945x = 662,728 × 662,728
  4. Step 4: Simplify right side
    305,945x = 439,208,401,984
  5. Step 5: Solve for x
    x = 439,208,401,984/305,945
  6. Step 6: Final answer
    x = 1,435,579.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.