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Finding the Third Proportional to 305,970 and 666,377

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Solution

The third proportional to 305,970 and 666,377 is: 1,451,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,970 : 666,377 = 666,377 : x
  2. Step 2: Convert to fraction form
    305,970/666,377 = 666,377/x
  3. Step 3: Cross multiply
    305,970x = 666,377 × 666,377
  4. Step 4: Simplify right side
    305,970x = 444,058,306,129
  5. Step 5: Solve for x
    x = 444,058,306,129/305,970
  6. Step 6: Final answer
    x = 1,451,313.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.