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Finding the Third Proportional to 171,138 and 256,707

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Solution

The third proportional to 171,138 and 256,707 is: 385,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,138 : 256,707 = 256,707 : x
  2. Step 2: Convert to fraction form
    171,138/256,707 = 256,707/x
  3. Step 3: Cross multiply
    171,138x = 256,707 × 256,707
  4. Step 4: Simplify right side
    171,138x = 65,898,483,849
  5. Step 5: Solve for x
    x = 65,898,483,849/171,138
  6. Step 6: Final answer
    x = 385,060.50

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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.