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Finding the Third Proportional to 122,844 and 258,066

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Solution

The third proportional to 122,844 and 258,066 is: 542,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,844 : 258,066 = 258,066 : x
  2. Step 2: Convert to fraction form
    122,844/258,066 = 258,066/x
  3. Step 3: Cross multiply
    122,844x = 258,066 × 258,066
  4. Step 4: Simplify right side
    122,844x = 66,598,060,356
  5. Step 5: Solve for x
    x = 66,598,060,356/122,844
  6. Step 6: Final answer
    x = 542,135.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.