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Finding the Third Proportional to 285,716 and 427,171

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Solution

The third proportional to 285,716 and 427,171 is: 638,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,716 : 427,171 = 427,171 : x
  2. Step 2: Convert to fraction form
    285,716/427,171 = 427,171/x
  3. Step 3: Cross multiply
    285,716x = 427,171 × 427,171
  4. Step 4: Simplify right side
    285,716x = 182,475,063,241
  5. Step 5: Solve for x
    x = 182,475,063,241/285,716
  6. Step 6: Final answer
    x = 638,658.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.