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Finding the Third Proportional to 396,580 and 872,216

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Solution

The third proportional to 396,580 and 872,216 is: 1,918,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,580 : 872,216 = 872,216 : x
  2. Step 2: Convert to fraction form
    396,580/872,216 = 872,216/x
  3. Step 3: Cross multiply
    396,580x = 872,216 × 872,216
  4. Step 4: Simplify right side
    396,580x = 760,760,750,656
  5. Step 5: Solve for x
    x = 760,760,750,656/396,580
  6. Step 6: Final answer
    x = 1,918,303.37

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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.