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Finding the Third Proportional to 79,422 and 122,865

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Solution

The third proportional to 79,422 and 122,865 is: 190,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,422 : 122,865 = 122,865 : x
  2. Step 2: Convert to fraction form
    79,422/122,865 = 122,865/x
  3. Step 3: Cross multiply
    79,422x = 122,865 × 122,865
  4. Step 4: Simplify right side
    79,422x = 15,095,808,225
  5. Step 5: Solve for x
    x = 15,095,808,225/79,422
  6. Step 6: Final answer
    x = 190,070.86

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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.