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Finding the Third Proportional to 170,586 and 398,520

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Solution

The third proportional to 170,586 and 398,520 is: 931,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,586 : 398,520 = 398,520 : x
  2. Step 2: Convert to fraction form
    170,586/398,520 = 398,520/x
  3. Step 3: Cross multiply
    170,586x = 398,520 × 398,520
  4. Step 4: Simplify right side
    170,586x = 158,818,190,400
  5. Step 5: Solve for x
    x = 158,818,190,400/170,586
  6. Step 6: Final answer
    x = 931,015.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.