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Finding the Third Proportional to 386,949 and 597,921

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Solution

The third proportional to 386,949 and 597,921 is: 923,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,949 : 597,921 = 597,921 : x
  2. Step 2: Convert to fraction form
    386,949/597,921 = 597,921/x
  3. Step 3: Cross multiply
    386,949x = 597,921 × 597,921
  4. Step 4: Simplify right side
    386,949x = 357,509,522,241
  5. Step 5: Solve for x
    x = 357,509,522,241/386,949
  6. Step 6: Final answer
    x = 923,918.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.