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Finding the Third Proportional to 168,213 and 257,571

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Solution

The third proportional to 168,213 and 257,571 is: 394,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,213 : 257,571 = 257,571 : x
  2. Step 2: Convert to fraction form
    168,213/257,571 = 257,571/x
  3. Step 3: Cross multiply
    168,213x = 257,571 × 257,571
  4. Step 4: Simplify right side
    168,213x = 66,342,820,041
  5. Step 5: Solve for x
    x = 66,342,820,041/168,213
  6. Step 6: Final answer
    x = 394,397.70

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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.