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Finding the Third Proportional to 128,434.78 and 277,449.05

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Solution

The third proportional to 128,434.78 and 277,449.05 is: 599,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,434.78 : 277,449.05 = 277,449.05 : x
  2. Step 2: Convert to fraction form
    128,434.78/277,449.05 = 277,449.05/x
  3. Step 3: Cross multiply
    128,434.78x = 277,449.05 × 277,449.05
  4. Step 4: Simplify right side
    128,434.78x = 76,977,973,611.85
  5. Step 5: Solve for x
    x = 76,977,973,611.85/128,434.78
  6. Step 6: Final answer
    x = 599,354.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.