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Finding the Third Proportional to 358,723.37 and 787,422.09

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Solution

The third proportional to 358,723.37 and 787,422.09 is: 1,728,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,723.37 : 787,422.09 = 787,422.09 : x
  2. Step 2: Convert to fraction form
    358,723.37/787,422.09 = 787,422.09/x
  3. Step 3: Cross multiply
    358,723.37x = 787,422.09 × 787,422.09
  4. Step 4: Simplify right side
    358,723.37x = 620,033,553,725.63
  5. Step 5: Solve for x
    x = 620,033,553,725.63/358,723.37
  6. Step 6: Final answer
    x = 1,728,444.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.