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Finding the Third Proportional to 397,090 and 864,148

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Solution

The third proportional to 397,090 and 864,148 is: 1,880,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,090 : 864,148 = 864,148 : x
  2. Step 2: Convert to fraction form
    397,090/864,148 = 864,148/x
  3. Step 3: Cross multiply
    397,090x = 864,148 × 864,148
  4. Step 4: Simplify right side
    397,090x = 746,751,765,904
  5. Step 5: Solve for x
    x = 746,751,765,904/397,090
  6. Step 6: Final answer
    x = 1,880,560.49

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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.