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Finding the Third Proportional to 421,136 and 921,006

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Solution

The third proportional to 421,136 and 921,006 is: 2,014,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,136 : 921,006 = 921,006 : x
  2. Step 2: Convert to fraction form
    421,136/921,006 = 921,006/x
  3. Step 3: Cross multiply
    421,136x = 921,006 × 921,006
  4. Step 4: Simplify right side
    421,136x = 848,252,052,036
  5. Step 5: Solve for x
    x = 848,252,052,036/421,136
  6. Step 6: Final answer
    x = 2,014,199.81

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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.