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Finding the Third Proportional to 172,512 and 353,629.50

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Solution

The third proportional to 172,512 and 353,629.50 is: 724,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,512 : 353,629.50 = 353,629.50 : x
  2. Step 2: Convert to fraction form
    172,512/353,629.50 = 353,629.50/x
  3. Step 3: Cross multiply
    172,512x = 353,629.50 × 353,629.50
  4. Step 4: Simplify right side
    172,512x = 125,053,823,270.25
  5. Step 5: Solve for x
    x = 125,053,823,270.25/172,512
  6. Step 6: Final answer
    x = 724,899.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.