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Finding the Third Proportional to 391,167 and 942,021

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Solution

The third proportional to 391,167 and 942,021 is: 2,268,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,167 : 942,021 = 942,021 : x
  2. Step 2: Convert to fraction form
    391,167/942,021 = 942,021/x
  3. Step 3: Cross multiply
    391,167x = 942,021 × 942,021
  4. Step 4: Simplify right side
    391,167x = 887,403,564,441
  5. Step 5: Solve for x
    x = 887,403,564,441/391,167
  6. Step 6: Final answer
    x = 2,268,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.