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Finding the Third Proportional to 162,057 and 256,405

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Solution

The third proportional to 162,057 and 256,405 is: 405,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,057 : 256,405 = 256,405 : x
  2. Step 2: Convert to fraction form
    162,057/256,405 = 256,405/x
  3. Step 3: Cross multiply
    162,057x = 256,405 × 256,405
  4. Step 4: Simplify right side
    162,057x = 65,743,524,025
  5. Step 5: Solve for x
    x = 65,743,524,025/162,057
  6. Step 6: Final answer
    x = 405,681.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.