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Finding the Third Proportional to 82,420 and 125,208

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Solution

The third proportional to 82,420 and 125,208 is: 190,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420 : 125,208 = 125,208 : x
  2. Step 2: Convert to fraction form
    82,420/125,208 = 125,208/x
  3. Step 3: Cross multiply
    82,420x = 125,208 × 125,208
  4. Step 4: Simplify right side
    82,420x = 15,677,043,264
  5. Step 5: Solve for x
    x = 15,677,043,264/82,420
  6. Step 6: Final answer
    x = 190,209.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.