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Finding the Third Proportional to 307,611.75 and 411,573.75

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Solution

The third proportional to 307,611.75 and 411,573.75 is: 550,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,611.75 : 411,573.75 = 411,573.75 : x
  2. Step 2: Convert to fraction form
    307,611.75/411,573.75 = 411,573.75/x
  3. Step 3: Cross multiply
    307,611.75x = 411,573.75 × 411,573.75
  4. Step 4: Simplify right side
    307,611.75x = 169,392,951,689.06
  5. Step 5: Solve for x
    x = 169,392,951,689.06/307,611.75
  6. Step 6: Final answer
    x = 550,671.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.