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Finding the Third Proportional to 122,904 and 260,208

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Solution

The third proportional to 122,904 and 260,208 is: 550,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 260,208 = 260,208 : x
  2. Step 2: Convert to fraction form
    122,904/260,208 = 260,208/x
  3. Step 3: Cross multiply
    122,904x = 260,208 × 260,208
  4. Step 4: Simplify right side
    122,904x = 67,708,203,264
  5. Step 5: Solve for x
    x = 67,708,203,264/122,904
  6. Step 6: Final answer
    x = 550,903.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.