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Finding the Third Proportional to 421,938 and 909,846

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Solution

The third proportional to 421,938 and 909,846 is: 1,961,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,938 : 909,846 = 909,846 : x
  2. Step 2: Convert to fraction form
    421,938/909,846 = 909,846/x
  3. Step 3: Cross multiply
    421,938x = 909,846 × 909,846
  4. Step 4: Simplify right side
    421,938x = 827,819,743,716
  5. Step 5: Solve for x
    x = 827,819,743,716/421,938
  6. Step 6: Final answer
    x = 1,961,946.41

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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.