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Finding the Third Proportional to 423,078 and 923,328

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Solution

The third proportional to 423,078 and 923,328 is: 2,015,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,078 : 923,328 = 923,328 : x
  2. Step 2: Convert to fraction form
    423,078/923,328 = 923,328/x
  3. Step 3: Cross multiply
    423,078x = 923,328 × 923,328
  4. Step 4: Simplify right side
    423,078x = 852,534,595,584
  5. Step 5: Solve for x
    x = 852,534,595,584/423,078
  6. Step 6: Final answer
    x = 2,015,076.64

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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.