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Finding the Third Proportional to 417,220 and 856,558

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Solution

The third proportional to 417,220 and 856,558 is: 1,758,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,220 : 856,558 = 856,558 : x
  2. Step 2: Convert to fraction form
    417,220/856,558 = 856,558/x
  3. Step 3: Cross multiply
    417,220x = 856,558 × 856,558
  4. Step 4: Simplify right side
    417,220x = 733,691,607,364
  5. Step 5: Solve for x
    x = 733,691,607,364/417,220
  6. Step 6: Final answer
    x = 1,758,524.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.