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Finding the Third Proportional to 171,640 and 265,763

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Solution

The third proportional to 171,640 and 265,763 is: 411,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,640 : 265,763 = 265,763 : x
  2. Step 2: Convert to fraction form
    171,640/265,763 = 265,763/x
  3. Step 3: Cross multiply
    171,640x = 265,763 × 265,763
  4. Step 4: Simplify right side
    171,640x = 70,629,972,169
  5. Step 5: Solve for x
    x = 70,629,972,169/171,640
  6. Step 6: Final answer
    x = 411,500.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.