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Finding the Third Proportional to 129,002.63 and 273,678.75

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Solution

The third proportional to 129,002.63 and 273,678.75 is: 580,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,002.63 : 273,678.75 = 273,678.75 : x
  2. Step 2: Convert to fraction form
    129,002.63/273,678.75 = 273,678.75/x
  3. Step 3: Cross multiply
    129,002.63x = 273,678.75 × 273,678.75
  4. Step 4: Simplify right side
    129,002.63x = 74,900,058,201.56
  5. Step 5: Solve for x
    x = 74,900,058,201.56/129,002.63
  6. Step 6: Final answer
    x = 580,608.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.