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Finding the Third Proportional to 196,071.75 and 428,122.69

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Solution

The third proportional to 196,071.75 and 428,122.69 is: 934,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,071.75 : 428,122.69 = 428,122.69 : x
  2. Step 2: Convert to fraction form
    196,071.75/428,122.69 = 428,122.69/x
  3. Step 3: Cross multiply
    196,071.75x = 428,122.69 × 428,122.69
  4. Step 4: Simplify right side
    196,071.75x = 183,289,035,552.22
  5. Step 5: Solve for x
    x = 183,289,035,552.22/196,071.75
  6. Step 6: Final answer
    x = 934,805.93

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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.