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Finding the Third Proportional to 255,211 and 391,738

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Solution

The third proportional to 255,211 and 391,738 is: 601,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,211 : 391,738 = 391,738 : x
  2. Step 2: Convert to fraction form
    255,211/391,738 = 391,738/x
  3. Step 3: Cross multiply
    255,211x = 391,738 × 391,738
  4. Step 4: Simplify right side
    255,211x = 153,458,660,644
  5. Step 5: Solve for x
    x = 153,458,660,644/255,211
  6. Step 6: Final answer
    x = 601,301.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.