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Finding the Third Proportional to 196,728.75 and 312,544.69

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Solution

The third proportional to 196,728.75 and 312,544.69 is: 496,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,728.75 : 312,544.69 = 312,544.69 : x
  2. Step 2: Convert to fraction form
    196,728.75/312,544.69 = 312,544.69/x
  3. Step 3: Cross multiply
    196,728.75x = 312,544.69 × 312,544.69
  4. Step 4: Simplify right side
    196,728.75x = 97,684,181,684.47
  5. Step 5: Solve for x
    x = 97,684,181,684.47/196,728.75
  6. Step 6: Final answer
    x = 496,542.48

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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.