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Finding the Third Proportional to 84,172 and 180,172

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Solution

The third proportional to 84,172 and 180,172 is: 385,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,172 : 180,172 = 180,172 : x
  2. Step 2: Convert to fraction form
    84,172/180,172 = 180,172/x
  3. Step 3: Cross multiply
    84,172x = 180,172 × 180,172
  4. Step 4: Simplify right side
    84,172x = 32,461,949,584
  5. Step 5: Solve for x
    x = 32,461,949,584/84,172
  6. Step 6: Final answer
    x = 385,662.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.