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Finding the Third Proportional to 305,078 and 461,558

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Solution

The third proportional to 305,078 and 461,558 is: 698,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,078 : 461,558 = 461,558 : x
  2. Step 2: Convert to fraction form
    305,078/461,558 = 461,558/x
  3. Step 3: Cross multiply
    305,078x = 461,558 × 461,558
  4. Step 4: Simplify right side
    305,078x = 213,035,787,364
  5. Step 5: Solve for x
    x = 213,035,787,364/305,078
  6. Step 6: Final answer
    x = 698,299.41

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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.