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Finding the Third Proportional to 129,005 and 199,256

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Solution

The third proportional to 129,005 and 199,256 is: 307,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,005 : 199,256 = 199,256 : x
  2. Step 2: Convert to fraction form
    129,005/199,256 = 199,256/x
  3. Step 3: Cross multiply
    129,005x = 199,256 × 199,256
  4. Step 4: Simplify right side
    129,005x = 39,702,953,536
  5. Step 5: Solve for x
    x = 39,702,953,536/129,005
  6. Step 6: Final answer
    x = 307,762.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.