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Finding the Third Proportional to 160,400 and 324,688

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Solution

The third proportional to 160,400 and 324,688 is: 657,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,400 : 324,688 = 324,688 : x
  2. Step 2: Convert to fraction form
    160,400/324,688 = 324,688/x
  3. Step 3: Cross multiply
    160,400x = 324,688 × 324,688
  4. Step 4: Simplify right side
    160,400x = 105,422,297,344
  5. Step 5: Solve for x
    x = 105,422,297,344/160,400
  6. Step 6: Final answer
    x = 657,246.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.