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Finding the Third Proportional to 116,906 and 180,815

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Solution

The third proportional to 116,906 and 180,815 is: 279,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,906 : 180,815 = 180,815 : x
  2. Step 2: Convert to fraction form
    116,906/180,815 = 180,815/x
  3. Step 3: Cross multiply
    116,906x = 180,815 × 180,815
  4. Step 4: Simplify right side
    116,906x = 32,694,064,225
  5. Step 5: Solve for x
    x = 32,694,064,225/116,906
  6. Step 6: Final answer
    x = 279,661.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.