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Finding the Third Proportional to 171,425 and 256,971

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Solution

The third proportional to 171,425 and 256,971 is: 385,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,425 : 256,971 = 256,971 : x
  2. Step 2: Convert to fraction form
    171,425/256,971 = 256,971/x
  3. Step 3: Cross multiply
    171,425x = 256,971 × 256,971
  4. Step 4: Simplify right side
    171,425x = 66,034,094,841
  5. Step 5: Solve for x
    x = 66,034,094,841/171,425
  6. Step 6: Final answer
    x = 385,206.91

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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.