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Finding the Third Proportional to 421,916 and 909,802

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Solution

The third proportional to 421,916 and 909,802 is: 1,961,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,916 : 909,802 = 909,802 : x
  2. Step 2: Convert to fraction form
    421,916/909,802 = 909,802/x
  3. Step 3: Cross multiply
    421,916x = 909,802 × 909,802
  4. Step 4: Simplify right side
    421,916x = 827,739,679,204
  5. Step 5: Solve for x
    x = 827,739,679,204/421,916
  6. Step 6: Final answer
    x = 1,961,858.95

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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.