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Finding the Third Proportional to 171,064 and 256,684

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Solution

The third proportional to 171,064 and 256,684 is: 385,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064 : 256,684 = 256,684 : x
  2. Step 2: Convert to fraction form
    171,064/256,684 = 256,684/x
  3. Step 3: Cross multiply
    171,064x = 256,684 × 256,684
  4. Step 4: Simplify right side
    171,064x = 65,886,675,856
  5. Step 5: Solve for x
    x = 65,886,675,856/171,064
  6. Step 6: Final answer
    x = 385,158.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.