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Finding the Third Proportional to 172,012.75 and 388,622.25

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Solution

The third proportional to 172,012.75 and 388,622.25 is: 878,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012.75 : 388,622.25 = 388,622.25 : x
  2. Step 2: Convert to fraction form
    172,012.75/388,622.25 = 388,622.25/x
  3. Step 3: Cross multiply
    172,012.75x = 388,622.25 × 388,622.25
  4. Step 4: Simplify right side
    172,012.75x = 151,027,253,195.06
  5. Step 5: Solve for x
    x = 151,027,253,195.06/172,012.75
  6. Step 6: Final answer
    x = 878,000.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.