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Finding the Third Proportional to 122,904 and 258,168

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Solution

The third proportional to 122,904 and 258,168 is: 542,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 258,168 = 258,168 : x
  2. Step 2: Convert to fraction form
    122,904/258,168 = 258,168/x
  3. Step 3: Cross multiply
    122,904x = 258,168 × 258,168
  4. Step 4: Simplify right side
    122,904x = 66,650,716,224
  5. Step 5: Solve for x
    x = 66,650,716,224/122,904
  6. Step 6: Final answer
    x = 542,299.00

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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.