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Finding the Third Proportional to 397,169 and 864,225

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Solution

The third proportional to 397,169 and 864,225 is: 1,880,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,169 : 864,225 = 864,225 : x
  2. Step 2: Convert to fraction form
    397,169/864,225 = 864,225/x
  3. Step 3: Cross multiply
    397,169x = 864,225 × 864,225
  4. Step 4: Simplify right side
    397,169x = 746,884,850,625
  5. Step 5: Solve for x
    x = 746,884,850,625/397,169
  6. Step 6: Final answer
    x = 1,880,521.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.