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Finding the Third Proportional to 391,436 and 850,888

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Solution

The third proportional to 391,436 and 850,888 is: 1,849,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,436 : 850,888 = 850,888 : x
  2. Step 2: Convert to fraction form
    391,436/850,888 = 850,888/x
  3. Step 3: Cross multiply
    391,436x = 850,888 × 850,888
  4. Step 4: Simplify right side
    391,436x = 724,010,388,544
  5. Step 5: Solve for x
    x = 724,010,388,544/391,436
  6. Step 6: Final answer
    x = 1,849,626.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.