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Finding the Third Proportional to 397,072 and 856,348

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Solution

The third proportional to 397,072 and 856,348 is: 1,846,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,072 : 856,348 = 856,348 : x
  2. Step 2: Convert to fraction form
    397,072/856,348 = 856,348/x
  3. Step 3: Cross multiply
    397,072x = 856,348 × 856,348
  4. Step 4: Simplify right side
    397,072x = 733,331,897,104
  5. Step 5: Solve for x
    x = 733,331,897,104/397,072
  6. Step 6: Final answer
    x = 1,846,848.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.