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Finding the Third Proportional to 158,256 and 211,405

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Solution

The third proportional to 158,256 and 211,405 is: 282,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,256 : 211,405 = 211,405 : x
  2. Step 2: Convert to fraction form
    158,256/211,405 = 211,405/x
  3. Step 3: Cross multiply
    158,256x = 211,405 × 211,405
  4. Step 4: Simplify right side
    158,256x = 44,692,074,025
  5. Step 5: Solve for x
    x = 44,692,074,025/158,256
  6. Step 6: Final answer
    x = 282,403.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.