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Finding the Third Proportional to 122,128 and 265,763

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Solution

The third proportional to 122,128 and 265,763 is: 578,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,128 : 265,763 = 265,763 : x
  2. Step 2: Convert to fraction form
    122,128/265,763 = 265,763/x
  3. Step 3: Cross multiply
    122,128x = 265,763 × 265,763
  4. Step 4: Simplify right side
    122,128x = 70,629,972,169
  5. Step 5: Solve for x
    x = 70,629,972,169/122,128
  6. Step 6: Final answer
    x = 578,327.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.