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Finding the Third Proportional to 421,977 and 909,942

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Solution

The third proportional to 421,977 and 909,942 is: 1,962,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,977 : 909,942 = 909,942 : x
  2. Step 2: Convert to fraction form
    421,977/909,942 = 909,942/x
  3. Step 3: Cross multiply
    421,977x = 909,942 × 909,942
  4. Step 4: Simplify right side
    421,977x = 827,994,443,364
  5. Step 5: Solve for x
    x = 827,994,443,364/421,977
  6. Step 6: Final answer
    x = 1,962,179.08

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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.