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Finding the Third Proportional to 286,494 and 442,194

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Solution

The third proportional to 286,494 and 442,194 is: 682,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,494 : 442,194 = 442,194 : x
  2. Step 2: Convert to fraction form
    286,494/442,194 = 442,194/x
  3. Step 3: Cross multiply
    286,494x = 442,194 × 442,194
  4. Step 4: Simplify right side
    286,494x = 195,535,533,636
  5. Step 5: Solve for x
    x = 195,535,533,636/286,494
  6. Step 6: Final answer
    x = 682,511.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.