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Finding the Third Proportional to 79,390 and 122,873

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Solution

The third proportional to 79,390 and 122,873 is: 190,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,390 : 122,873 = 122,873 : x
  2. Step 2: Convert to fraction form
    79,390/122,873 = 122,873/x
  3. Step 3: Cross multiply
    79,390x = 122,873 × 122,873
  4. Step 4: Simplify right side
    79,390x = 15,097,774,129
  5. Step 5: Solve for x
    x = 15,097,774,129/79,390
  6. Step 6: Final answer
    x = 190,172.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.