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Finding the Third Proportional to 422,349 and 923,430

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Solution

The third proportional to 422,349 and 923,430 is: 2,019,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,349 : 923,430 = 923,430 : x
  2. Step 2: Convert to fraction form
    422,349/923,430 = 923,430/x
  3. Step 3: Cross multiply
    422,349x = 923,430 × 923,430
  4. Step 4: Simplify right side
    422,349x = 852,722,964,900
  5. Step 5: Solve for x
    x = 852,722,964,900/422,349
  6. Step 6: Final answer
    x = 2,019,000.79

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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.