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Finding the Third Proportional to 122,642 and 188,986

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Solution

The third proportional to 122,642 and 188,986 is: 291,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,642 : 188,986 = 188,986 : x
  2. Step 2: Convert to fraction form
    122,642/188,986 = 188,986/x
  3. Step 3: Cross multiply
    122,642x = 188,986 × 188,986
  4. Step 4: Simplify right side
    122,642x = 35,715,708,196
  5. Step 5: Solve for x
    x = 35,715,708,196/122,642
  6. Step 6: Final answer
    x = 291,219.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.