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Finding the Third Proportional to 421,145 and 921,022

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Solution

The third proportional to 421,145 and 921,022 is: 2,014,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,145 : 921,022 = 921,022 : x
  2. Step 2: Convert to fraction form
    421,145/921,022 = 921,022/x
  3. Step 3: Cross multiply
    421,145x = 921,022 × 921,022
  4. Step 4: Simplify right side
    421,145x = 848,281,524,484
  5. Step 5: Solve for x
    x = 848,281,524,484/421,145
  6. Step 6: Final answer
    x = 2,014,226.75

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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.