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Finding the Third Proportional to 386,886 and 591,779

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Solution

The third proportional to 386,886 and 591,779 is: 905,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,886 : 591,779 = 591,779 : x
  2. Step 2: Convert to fraction form
    386,886/591,779 = 591,779/x
  3. Step 3: Cross multiply
    386,886x = 591,779 × 591,779
  4. Step 4: Simplify right side
    386,886x = 350,202,384,841
  5. Step 5: Solve for x
    x = 350,202,384,841/386,886
  6. Step 6: Final answer
    x = 905,182.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.