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Finding the Third Proportional to 128,219 and 172,917

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Solution

The third proportional to 128,219 and 172,917 is: 233,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,219 : 172,917 = 172,917 : x
  2. Step 2: Convert to fraction form
    128,219/172,917 = 172,917/x
  3. Step 3: Cross multiply
    128,219x = 172,917 × 172,917
  4. Step 4: Simplify right side
    128,219x = 29,900,288,889
  5. Step 5: Solve for x
    x = 29,900,288,889/128,219
  6. Step 6: Final answer
    x = 233,197.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.