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Finding the Third Proportional to 82,137 and 180,312

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Solution

The third proportional to 82,137 and 180,312 is: 395,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137 : 180,312 = 180,312 : x
  2. Step 2: Convert to fraction form
    82,137/180,312 = 180,312/x
  3. Step 3: Cross multiply
    82,137x = 180,312 × 180,312
  4. Step 4: Simplify right side
    82,137x = 32,512,417,344
  5. Step 5: Solve for x
    x = 32,512,417,344/82,137
  6. Step 6: Final answer
    x = 395,831.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.