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Finding the Third Proportional to 305,622 and 668,045

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Solution

The third proportional to 305,622 and 668,045 is: 1,460,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,622 : 668,045 = 668,045 : x
  2. Step 2: Convert to fraction form
    305,622/668,045 = 668,045/x
  3. Step 3: Cross multiply
    305,622x = 668,045 × 668,045
  4. Step 4: Simplify right side
    305,622x = 446,284,122,025
  5. Step 5: Solve for x
    x = 446,284,122,025/305,622
  6. Step 6: Final answer
    x = 1,460,248.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.