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Finding the Third Proportional to 170,872 and 256,307

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Solution

The third proportional to 170,872 and 256,307 is: 384,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,872 : 256,307 = 256,307 : x
  2. Step 2: Convert to fraction form
    170,872/256,307 = 256,307/x
  3. Step 3: Cross multiply
    170,872x = 256,307 × 256,307
  4. Step 4: Simplify right side
    170,872x = 65,693,278,249
  5. Step 5: Solve for x
    x = 65,693,278,249/170,872
  6. Step 6: Final answer
    x = 384,459.00

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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.