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Finding the Third Proportional to 291,565 and 606,407

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Solution

The third proportional to 291,565 and 606,407 is: 1,261,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,565 : 606,407 = 606,407 : x
  2. Step 2: Convert to fraction form
    291,565/606,407 = 606,407/x
  3. Step 3: Cross multiply
    291,565x = 606,407 × 606,407
  4. Step 4: Simplify right side
    291,565x = 367,729,449,649
  5. Step 5: Solve for x
    x = 367,729,449,649/291,565
  6. Step 6: Final answer
    x = 1,261,226.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.