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Finding the Third Proportional to 82,122 and 180,408

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Solution

The third proportional to 82,122 and 180,408 is: 396,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122 : 180,408 = 180,408 : x
  2. Step 2: Convert to fraction form
    82,122/180,408 = 180,408/x
  3. Step 3: Cross multiply
    82,122x = 180,408 × 180,408
  4. Step 4: Simplify right side
    82,122x = 32,547,046,464
  5. Step 5: Solve for x
    x = 32,547,046,464/82,122
  6. Step 6: Final answer
    x = 396,325.55

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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.