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Finding the Third Proportional to 150,540 and 325,080

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Solution

The third proportional to 150,540 and 325,080 is: 701,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540 : 325,080 = 325,080 : x
  2. Step 2: Convert to fraction form
    150,540/325,080 = 325,080/x
  3. Step 3: Cross multiply
    150,540x = 325,080 × 325,080
  4. Step 4: Simplify right side
    150,540x = 105,677,006,400
  5. Step 5: Solve for x
    x = 105,677,006,400/150,540
  6. Step 6: Final answer
    x = 701,986.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.