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Finding the Third Proportional to 421,669 and 903,601.75

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Solution

The third proportional to 421,669 and 903,601.75 is: 1,936,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669 : 903,601.75 = 903,601.75 : x
  2. Step 2: Convert to fraction form
    421,669/903,601.75 = 903,601.75/x
  3. Step 3: Cross multiply
    421,669x = 903,601.75 × 903,601.75
  4. Step 4: Simplify right side
    421,669x = 816,496,122,603.06
  5. Step 5: Solve for x
    x = 816,496,122,603.06/421,669
  6. Step 6: Final answer
    x = 1,936,343.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.