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Finding the Third Proportional to 172,206 and 370,800

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Solution

The third proportional to 172,206 and 370,800 is: 798,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,206 : 370,800 = 370,800 : x
  2. Step 2: Convert to fraction form
    172,206/370,800 = 370,800/x
  3. Step 3: Cross multiply
    172,206x = 370,800 × 370,800
  4. Step 4: Simplify right side
    172,206x = 137,492,640,000
  5. Step 5: Solve for x
    x = 137,492,640,000/172,206
  6. Step 6: Final answer
    x = 798,419.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.