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Finding the Third Proportional to 305,978 and 654,058

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Solution

The third proportional to 305,978 and 654,058 is: 1,398,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978 : 654,058 = 654,058 : x
  2. Step 2: Convert to fraction form
    305,978/654,058 = 654,058/x
  3. Step 3: Cross multiply
    305,978x = 654,058 × 654,058
  4. Step 4: Simplify right side
    305,978x = 427,791,867,364
  5. Step 5: Solve for x
    x = 427,791,867,364/305,978
  6. Step 6: Final answer
    x = 1,398,113.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.