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Finding the Third Proportional to 172,422 and 230,121

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Solution

The third proportional to 172,422 and 230,121 is: 307,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,422 : 230,121 = 230,121 : x
  2. Step 2: Convert to fraction form
    172,422/230,121 = 230,121/x
  3. Step 3: Cross multiply
    172,422x = 230,121 × 230,121
  4. Step 4: Simplify right side
    172,422x = 52,955,674,641
  5. Step 5: Solve for x
    x = 52,955,674,641/172,422
  6. Step 6: Final answer
    x = 307,128.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.