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Finding the Third Proportional to 122,860 and 258,838

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Solution

The third proportional to 122,860 and 258,838 is: 545,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,860 : 258,838 = 258,838 : x
  2. Step 2: Convert to fraction form
    122,860/258,838 = 258,838/x
  3. Step 3: Cross multiply
    122,860x = 258,838 × 258,838
  4. Step 4: Simplify right side
    122,860x = 66,997,110,244
  5. Step 5: Solve for x
    x = 66,997,110,244/122,860
  6. Step 6: Final answer
    x = 545,312.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.