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Finding the Third Proportional to 257,716 and 362,921

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Solution

The third proportional to 257,716 and 362,921 is: 511,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,716 : 362,921 = 362,921 : x
  2. Step 2: Convert to fraction form
    257,716/362,921 = 362,921/x
  3. Step 3: Cross multiply
    257,716x = 362,921 × 362,921
  4. Step 4: Simplify right side
    257,716x = 131,711,652,241
  5. Step 5: Solve for x
    x = 131,711,652,241/257,716
  6. Step 6: Final answer
    x = 511,072.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.