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Finding the Third Proportional to 421,670 and 903,604

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Solution

The third proportional to 421,670 and 903,604 is: 1,936,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670 : 903,604 = 903,604 : x
  2. Step 2: Convert to fraction form
    421,670/903,604 = 903,604/x
  3. Step 3: Cross multiply
    421,670x = 903,604 × 903,604
  4. Step 4: Simplify right side
    421,670x = 816,500,188,816
  5. Step 5: Solve for x
    x = 816,500,188,816/421,670
  6. Step 6: Final answer
    x = 1,936,348.78

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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.