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Finding the Third Proportional to 172,100 and 372,798

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Solution

The third proportional to 172,100 and 372,798 is: 807,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,100 : 372,798 = 372,798 : x
  2. Step 2: Convert to fraction form
    172,100/372,798 = 372,798/x
  3. Step 3: Cross multiply
    172,100x = 372,798 × 372,798
  4. Step 4: Simplify right side
    172,100x = 138,978,348,804
  5. Step 5: Solve for x
    x = 138,978,348,804/172,100
  6. Step 6: Final answer
    x = 807,544.15

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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.