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Finding the Third Proportional to 128,223 and 280,827

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Solution

The third proportional to 128,223 and 280,827 is: 615,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,223 : 280,827 = 280,827 : x
  2. Step 2: Convert to fraction form
    128,223/280,827 = 280,827/x
  3. Step 3: Cross multiply
    128,223x = 280,827 × 280,827
  4. Step 4: Simplify right side
    128,223x = 78,863,803,929
  5. Step 5: Solve for x
    x = 78,863,803,929/128,223
  6. Step 6: Final answer
    x = 615,051.93

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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.