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Finding the Third Proportional to 196,940.11 and 312,634.69

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Solution

The third proportional to 196,940.11 and 312,634.69 is: 496,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,940.11 : 312,634.69 = 312,634.69 : x
  2. Step 2: Convert to fraction form
    196,940.11/312,634.69 = 312,634.69/x
  3. Step 3: Cross multiply
    196,940.11x = 312,634.69 × 312,634.69
  4. Step 4: Simplify right side
    196,940.11x = 97,740,447,828.22
  5. Step 5: Solve for x
    x = 97,740,447,828.22/196,940.11
  6. Step 6: Final answer
    x = 496,295.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.