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Finding the Third Proportional to 305,978 and 430,121

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Solution

The third proportional to 305,978 and 430,121 is: 604,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978 : 430,121 = 430,121 : x
  2. Step 2: Convert to fraction form
    305,978/430,121 = 430,121/x
  3. Step 3: Cross multiply
    305,978x = 430,121 × 430,121
  4. Step 4: Simplify right side
    305,978x = 185,004,074,641
  5. Step 5: Solve for x
    x = 185,004,074,641/305,978
  6. Step 6: Final answer
    x = 604,631.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.