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Finding the Third Proportional to 396,700 and 872,121

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Solution

The third proportional to 396,700 and 872,121 is: 1,917,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,700 : 872,121 = 872,121 : x
  2. Step 2: Convert to fraction form
    396,700/872,121 = 872,121/x
  3. Step 3: Cross multiply
    396,700x = 872,121 × 872,121
  4. Step 4: Simplify right side
    396,700x = 760,595,038,641
  5. Step 5: Solve for x
    x = 760,595,038,641/396,700
  6. Step 6: Final answer
    x = 1,917,305.37

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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.