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Finding the Third Proportional to 36,400 and 79,210

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Solution

The third proportional to 36,400 and 79,210 is: 172,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400 : 79,210 = 79,210 : x
  2. Step 2: Convert to fraction form
    36,400/79,210 = 79,210/x
  3. Step 3: Cross multiply
    36,400x = 79,210 × 79,210
  4. Step 4: Simplify right side
    36,400x = 6,274,224,100
  5. Step 5: Solve for x
    x = 6,274,224,100/36,400
  6. Step 6: Final answer
    x = 172,368.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.