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Finding the Third Proportional to 257,667 and 385,316

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Solution

The third proportional to 257,667 and 385,316 is: 576,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,667 : 385,316 = 385,316 : x
  2. Step 2: Convert to fraction form
    257,667/385,316 = 385,316/x
  3. Step 3: Cross multiply
    257,667x = 385,316 × 385,316
  4. Step 4: Simplify right side
    257,667x = 148,468,419,856
  5. Step 5: Solve for x
    x = 148,468,419,856/257,667
  6. Step 6: Final answer
    x = 576,202.70

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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.