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Finding the Third Proportional to 255,680 and 401,106

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Solution

The third proportional to 255,680 and 401,106 is: 629,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,680 : 401,106 = 401,106 : x
  2. Step 2: Convert to fraction form
    255,680/401,106 = 401,106/x
  3. Step 3: Cross multiply
    255,680x = 401,106 × 401,106
  4. Step 4: Simplify right side
    255,680x = 160,886,023,236
  5. Step 5: Solve for x
    x = 160,886,023,236/255,680
  6. Step 6: Final answer
    x = 629,247.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.