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Finding the Third Proportional to 214,906 and 505,513

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Solution

The third proportional to 214,906 and 505,513 is: 1,189,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906 : 505,513 = 505,513 : x
  2. Step 2: Convert to fraction form
    214,906/505,513 = 505,513/x
  3. Step 3: Cross multiply
    214,906x = 505,513 × 505,513
  4. Step 4: Simplify right side
    214,906x = 255,543,393,169
  5. Step 5: Solve for x
    x = 255,543,393,169/214,906
  6. Step 6: Final answer
    x = 1,189,093.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.