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Finding the Third Proportional to 391,190 and 585,326

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Solution

The third proportional to 391,190 and 585,326 is: 875,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,190 : 585,326 = 585,326 : x
  2. Step 2: Convert to fraction form
    391,190/585,326 = 585,326/x
  3. Step 3: Cross multiply
    391,190x = 585,326 × 585,326
  4. Step 4: Simplify right side
    391,190x = 342,606,526,276
  5. Step 5: Solve for x
    x = 342,606,526,276/391,190
  6. Step 6: Final answer
    x = 875,805.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.