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Finding the Third Proportional to 172,102.50 and 372,807

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Solution

The third proportional to 172,102.50 and 372,807 is: 807,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,102.50 : 372,807 = 372,807 : x
  2. Step 2: Convert to fraction form
    172,102.50/372,807 = 372,807/x
  3. Step 3: Cross multiply
    172,102.50x = 372,807 × 372,807
  4. Step 4: Simplify right side
    172,102.50x = 138,985,059,249
  5. Step 5: Solve for x
    x = 138,985,059,249/172,102.50
  6. Step 6: Final answer
    x = 807,571.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.