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Finding the Third Proportional to 79,404 and 122,838

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Solution

The third proportional to 79,404 and 122,838 is: 190,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,404 : 122,838 = 122,838 : x
  2. Step 2: Convert to fraction form
    79,404/122,838 = 122,838/x
  3. Step 3: Cross multiply
    79,404x = 122,838 × 122,838
  4. Step 4: Simplify right side
    79,404x = 15,089,174,244
  5. Step 5: Solve for x
    x = 15,089,174,244/79,404
  6. Step 6: Final answer
    x = 190,030.40

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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.