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Finding the Third Proportional to 79,122 and 124,380

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Solution

The third proportional to 79,122 and 124,380 is: 195,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,122 : 124,380 = 124,380 : x
  2. Step 2: Convert to fraction form
    79,122/124,380 = 124,380/x
  3. Step 3: Cross multiply
    79,122x = 124,380 × 124,380
  4. Step 4: Simplify right side
    79,122x = 15,470,384,400
  5. Step 5: Solve for x
    x = 15,470,384,400/79,122
  6. Step 6: Final answer
    x = 195,525.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.