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Finding the Third Proportional to 423,048 and 923,265

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Solution

The third proportional to 423,048 and 923,265 is: 2,014,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,048 : 923,265 = 923,265 : x
  2. Step 2: Convert to fraction form
    423,048/923,265 = 923,265/x
  3. Step 3: Cross multiply
    423,048x = 923,265 × 923,265
  4. Step 4: Simplify right side
    423,048x = 852,418,260,225
  5. Step 5: Solve for x
    x = 852,418,260,225/423,048
  6. Step 6: Final answer
    x = 2,014,944.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.