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Finding the Third Proportional to 128,007.84 and 280,619.44

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Solution

The third proportional to 128,007.84 and 280,619.44 is: 615,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,007.84 : 280,619.44 = 280,619.44 : x
  2. Step 2: Convert to fraction form
    128,007.84/280,619.44 = 280,619.44/x
  3. Step 3: Cross multiply
    128,007.84x = 280,619.44 × 280,619.44
  4. Step 4: Simplify right side
    128,007.84x = 78,747,268,702.82
  5. Step 5: Solve for x
    x = 78,747,268,702.82/128,007.84
  6. Step 6: Final answer
    x = 615,175.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.