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Finding the Third Proportional to 129,889 and 269,984

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Solution

The third proportional to 129,889 and 269,984 is: 561,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,889 : 269,984 = 269,984 : x
  2. Step 2: Convert to fraction form
    129,889/269,984 = 269,984/x
  3. Step 3: Cross multiply
    129,889x = 269,984 × 269,984
  4. Step 4: Simplify right side
    129,889x = 72,891,360,256
  5. Step 5: Solve for x
    x = 72,891,360,256/129,889
  6. Step 6: Final answer
    x = 561,181.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.