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Finding the Third Proportional to 291,217 and 622,916

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Solution

The third proportional to 291,217 and 622,916 is: 1,332,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,217 : 622,916 = 622,916 : x
  2. Step 2: Convert to fraction form
    291,217/622,916 = 622,916/x
  3. Step 3: Cross multiply
    291,217x = 622,916 × 622,916
  4. Step 4: Simplify right side
    291,217x = 388,024,343,056
  5. Step 5: Solve for x
    x = 388,024,343,056/291,217
  6. Step 6: Final answer
    x = 1,332,423.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.