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Finding the Third Proportional to 305,886 and 660,972

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Solution

The third proportional to 305,886 and 660,972 is: 1,428,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886 : 660,972 = 660,972 : x
  2. Step 2: Convert to fraction form
    305,886/660,972 = 660,972/x
  3. Step 3: Cross multiply
    305,886x = 660,972 × 660,972
  4. Step 4: Simplify right side
    305,886x = 436,883,984,784
  5. Step 5: Solve for x
    x = 436,883,984,784/305,886
  6. Step 6: Final answer
    x = 1,428,257.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.