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Finding the Third Proportional to 128,975 and 172,014

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Solution

The third proportional to 128,975 and 172,014 is: 229,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,975 : 172,014 = 172,014 : x
  2. Step 2: Convert to fraction form
    128,975/172,014 = 172,014/x
  3. Step 3: Cross multiply
    128,975x = 172,014 × 172,014
  4. Step 4: Simplify right side
    128,975x = 29,588,816,196
  5. Step 5: Solve for x
    x = 29,588,816,196/128,975
  6. Step 6: Final answer
    x = 229,415.13

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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.