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Finding the Third Proportional to 305,976 and 430,118

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Solution

The third proportional to 305,976 and 430,118 is: 604,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,976 : 430,118 = 430,118 : x
  2. Step 2: Convert to fraction form
    305,976/430,118 = 430,118/x
  3. Step 3: Cross multiply
    305,976x = 430,118 × 430,118
  4. Step 4: Simplify right side
    305,976x = 185,001,493,924
  5. Step 5: Solve for x
    x = 185,001,493,924/305,976
  6. Step 6: Final answer
    x = 604,627.47

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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.