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Finding the Third Proportional to 172,318 and 257,444

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Solution

The third proportional to 172,318 and 257,444 is: 384,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,318 : 257,444 = 257,444 : x
  2. Step 2: Convert to fraction form
    172,318/257,444 = 257,444/x
  3. Step 3: Cross multiply
    172,318x = 257,444 × 257,444
  4. Step 4: Simplify right side
    172,318x = 66,277,413,136
  5. Step 5: Solve for x
    x = 66,277,413,136/172,318
  6. Step 6: Final answer
    x = 384,622.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.