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Finding the Third Proportional to 162,996 and 257,616

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Solution

The third proportional to 162,996 and 257,616 is: 407,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,996 : 257,616 = 257,616 : x
  2. Step 2: Convert to fraction form
    162,996/257,616 = 257,616/x
  3. Step 3: Cross multiply
    162,996x = 257,616 × 257,616
  4. Step 4: Simplify right side
    162,996x = 66,366,003,456
  5. Step 5: Solve for x
    x = 66,366,003,456/162,996
  6. Step 6: Final answer
    x = 407,163.39

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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.