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Finding the Third Proportional to 128,228 and 280,072

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Solution

The third proportional to 128,228 and 280,072 is: 611,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,228 : 280,072 = 280,072 : x
  2. Step 2: Convert to fraction form
    128,228/280,072 = 280,072/x
  3. Step 3: Cross multiply
    128,228x = 280,072 × 280,072
  4. Step 4: Simplify right side
    128,228x = 78,440,325,184
  5. Step 5: Solve for x
    x = 78,440,325,184/128,228
  6. Step 6: Final answer
    x = 611,725.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.