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Finding the Third Proportional to 79,674 and 120,128.25

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Solution

The third proportional to 79,674 and 120,128.25 is: 181,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,674 : 120,128.25 = 120,128.25 : x
  2. Step 2: Convert to fraction form
    79,674/120,128.25 = 120,128.25/x
  3. Step 3: Cross multiply
    79,674x = 120,128.25 × 120,128.25
  4. Step 4: Simplify right side
    79,674x = 14,430,796,448.06
  5. Step 5: Solve for x
    x = 14,430,796,448.06/79,674
  6. Step 6: Final answer
    x = 181,123.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.