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Finding the Third Proportional to 172,619 and 264,944

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Solution

The third proportional to 172,619 and 264,944 is: 406,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,619 : 264,944 = 264,944 : x
  2. Step 2: Convert to fraction form
    172,619/264,944 = 264,944/x
  3. Step 3: Cross multiply
    172,619x = 264,944 × 264,944
  4. Step 4: Simplify right side
    172,619x = 70,195,323,136
  5. Step 5: Solve for x
    x = 70,195,323,136/172,619
  6. Step 6: Final answer
    x = 406,648.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.