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Finding the Third Proportional to 172,012.75 and 388,621.75

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Solution

The third proportional to 172,012.75 and 388,621.75 is: 877,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012.75 : 388,621.75 = 388,621.75 : x
  2. Step 2: Convert to fraction form
    172,012.75/388,621.75 = 388,621.75/x
  3. Step 3: Cross multiply
    172,012.75x = 388,621.75 × 388,621.75
  4. Step 4: Simplify right side
    172,012.75x = 151,026,864,573.06
  5. Step 5: Solve for x
    x = 151,026,864,573.06/172,012.75
  6. Step 6: Final answer
    x = 877,998.08

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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.