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Finding the Third Proportional to 391,581 and 855,063

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Solution

The third proportional to 391,581 and 855,063 is: 1,867,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,581 : 855,063 = 855,063 : x
  2. Step 2: Convert to fraction form
    391,581/855,063 = 855,063/x
  3. Step 3: Cross multiply
    391,581x = 855,063 × 855,063
  4. Step 4: Simplify right side
    391,581x = 731,132,733,969
  5. Step 5: Solve for x
    x = 731,132,733,969/391,581
  6. Step 6: Final answer
    x = 1,867,130.26

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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.