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Finding the Third Proportional to 223,098 and 434,986

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Solution

The third proportional to 223,098 and 434,986 is: 848,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,098 : 434,986 = 434,986 : x
  2. Step 2: Convert to fraction form
    223,098/434,986 = 434,986/x
  3. Step 3: Cross multiply
    223,098x = 434,986 × 434,986
  4. Step 4: Simplify right side
    223,098x = 189,212,820,196
  5. Step 5: Solve for x
    x = 189,212,820,196/223,098
  6. Step 6: Final answer
    x = 848,115.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.