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Finding the Third Proportional to 122,740 and 273,128

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Solution

The third proportional to 122,740 and 273,128 is: 607,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,740 : 273,128 = 273,128 : x
  2. Step 2: Convert to fraction form
    122,740/273,128 = 273,128/x
  3. Step 3: Cross multiply
    122,740x = 273,128 × 273,128
  4. Step 4: Simplify right side
    122,740x = 74,598,904,384
  5. Step 5: Solve for x
    x = 74,598,904,384/122,740
  6. Step 6: Final answer
    x = 607,779.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.