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Finding the Third Proportional to 421,138.50 and 921,009

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Solution

The third proportional to 421,138.50 and 921,009 is: 2,014,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,138.50 : 921,009 = 921,009 : x
  2. Step 2: Convert to fraction form
    421,138.50/921,009 = 921,009/x
  3. Step 3: Cross multiply
    421,138.50x = 921,009 × 921,009
  4. Step 4: Simplify right side
    421,138.50x = 848,257,578,081
  5. Step 5: Solve for x
    x = 848,257,578,081/421,138.50
  6. Step 6: Final answer
    x = 2,014,200.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.