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Finding the Third Proportional to 397,910 and 585,120

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Solution

The third proportional to 397,910 and 585,120 is: 860,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,910 : 585,120 = 585,120 : x
  2. Step 2: Convert to fraction form
    397,910/585,120 = 585,120/x
  3. Step 3: Cross multiply
    397,910x = 585,120 × 585,120
  4. Step 4: Simplify right side
    397,910x = 342,365,414,400
  5. Step 5: Solve for x
    x = 342,365,414,400/397,910
  6. Step 6: Final answer
    x = 860,409.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.