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Finding the Third Proportional to 180,728.25 and 392,611.75

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Solution

The third proportional to 180,728.25 and 392,611.75 is: 852,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,728.25 : 392,611.75 = 392,611.75 : x
  2. Step 2: Convert to fraction form
    180,728.25/392,611.75 = 392,611.75/x
  3. Step 3: Cross multiply
    180,728.25x = 392,611.75 × 392,611.75
  4. Step 4: Simplify right side
    180,728.25x = 154,143,986,238.06
  5. Step 5: Solve for x
    x = 154,143,986,238.06/180,728.25
  6. Step 6: Final answer
    x = 852,904.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.