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Finding the Third Proportional to 421,926 and 909,821

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Solution

The third proportional to 421,926 and 909,821 is: 1,961,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,926 : 909,821 = 909,821 : x
  2. Step 2: Convert to fraction form
    421,926/909,821 = 909,821/x
  3. Step 3: Cross multiply
    421,926x = 909,821 × 909,821
  4. Step 4: Simplify right side
    421,926x = 827,774,252,041
  5. Step 5: Solve for x
    x = 827,774,252,041/421,926
  6. Step 6: Final answer
    x = 1,961,894.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.