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Finding the Third Proportional to 196,987.78 and 276,643.69

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Solution

The third proportional to 196,987.78 and 276,643.69 is: 388,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,987.78 : 276,643.69 = 276,643.69 : x
  2. Step 2: Convert to fraction form
    196,987.78/276,643.69 = 276,643.69/x
  3. Step 3: Cross multiply
    196,987.78x = 276,643.69 × 276,643.69
  4. Step 4: Simplify right side
    196,987.78x = 76,531,729,833.60
  5. Step 5: Solve for x
    x = 76,531,729,833.60/196,987.78
  6. Step 6: Final answer
    x = 388,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.