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Finding the Third Proportional to 196,866 and 434,340

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Solution

The third proportional to 196,866 and 434,340 is: 958,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,866 : 434,340 = 434,340 : x
  2. Step 2: Convert to fraction form
    196,866/434,340 = 434,340/x
  3. Step 3: Cross multiply
    196,866x = 434,340 × 434,340
  4. Step 4: Simplify right side
    196,866x = 188,651,235,600
  5. Step 5: Solve for x
    x = 188,651,235,600/196,866
  6. Step 6: Final answer
    x = 958,272.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.