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Finding the Third Proportional to 421,152 and 921,036

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Solution

The third proportional to 421,152 and 921,036 is: 2,014,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,152 : 921,036 = 921,036 : x
  2. Step 2: Convert to fraction form
    421,152/921,036 = 921,036/x
  3. Step 3: Cross multiply
    421,152x = 921,036 × 921,036
  4. Step 4: Simplify right side
    421,152x = 848,307,313,296
  5. Step 5: Solve for x
    x = 848,307,313,296/421,152
  6. Step 6: Final answer
    x = 2,014,254.51

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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.