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Finding the Third Proportional to 324,458 and 434,007

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Solution

The third proportional to 324,458 and 434,007 is: 580,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,458 : 434,007 = 434,007 : x
  2. Step 2: Convert to fraction form
    324,458/434,007 = 434,007/x
  3. Step 3: Cross multiply
    324,458x = 434,007 × 434,007
  4. Step 4: Simplify right side
    324,458x = 188,362,076,049
  5. Step 5: Solve for x
    x = 188,362,076,049/324,458
  6. Step 6: Final answer
    x = 580,543.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.