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Finding the Third Proportional to 129,135.94 and 273,904.88

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Solution

The third proportional to 129,135.94 and 273,904.88 is: 580,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,135.94 : 273,904.88 = 273,904.88 : x
  2. Step 2: Convert to fraction form
    129,135.94/273,904.88 = 273,904.88/x
  3. Step 3: Cross multiply
    129,135.94x = 273,904.88 × 273,904.88
  4. Step 4: Simplify right side
    129,135.94x = 75,023,880,548.77
  5. Step 5: Solve for x
    x = 75,023,880,548.77/129,135.94
  6. Step 6: Final answer
    x = 580,968.26

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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.