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Finding the Third Proportional to 396,670 and 872,072

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Solution

The third proportional to 396,670 and 872,072 is: 1,917,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,670 : 872,072 = 872,072 : x
  2. Step 2: Convert to fraction form
    396,670/872,072 = 872,072/x
  3. Step 3: Cross multiply
    396,670x = 872,072 × 872,072
  4. Step 4: Simplify right side
    396,670x = 760,509,573,184
  5. Step 5: Solve for x
    x = 760,509,573,184/396,670
  6. Step 6: Final answer
    x = 1,917,234.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.