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Finding the Third Proportional to 166,448.25 and 257,440.50

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Solution

The third proportional to 166,448.25 and 257,440.50 is: 398,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,448.25 : 257,440.50 = 257,440.50 : x
  2. Step 2: Convert to fraction form
    166,448.25/257,440.50 = 257,440.50/x
  3. Step 3: Cross multiply
    166,448.25x = 257,440.50 × 257,440.50
  4. Step 4: Simplify right side
    166,448.25x = 66,275,611,040.25
  5. Step 5: Solve for x
    x = 66,275,611,040.25/166,448.25
  6. Step 6: Final answer
    x = 398,175.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.