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Finding the Third Proportional to 397,213 and 882,695

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Solution

The third proportional to 397,213 and 882,695 is: 1,961,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,213 : 882,695 = 882,695 : x
  2. Step 2: Convert to fraction form
    397,213/882,695 = 882,695/x
  3. Step 3: Cross multiply
    397,213x = 882,695 × 882,695
  4. Step 4: Simplify right side
    397,213x = 779,150,463,025
  5. Step 5: Solve for x
    x = 779,150,463,025/397,213
  6. Step 6: Final answer
    x = 1,961,543.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.