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Finding the Third Proportional to 196,436.25 and 428,855.63

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Solution

The third proportional to 196,436.25 and 428,855.63 is: 936,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,436.25 : 428,855.63 = 428,855.63 : x
  2. Step 2: Convert to fraction form
    196,436.25/428,855.63 = 428,855.63/x
  3. Step 3: Cross multiply
    196,436.25x = 428,855.63 × 428,855.63
  4. Step 4: Simplify right side
    196,436.25x = 183,917,147,094.14
  5. Step 5: Solve for x
    x = 183,917,147,094.14/196,436.25
  6. Step 6: Final answer
    x = 936,268.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.