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Finding the Third Proportional to 128,214 and 280,554

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Solution

The third proportional to 128,214 and 280,554 is: 613,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214 : 280,554 = 280,554 : x
  2. Step 2: Convert to fraction form
    128,214/280,554 = 280,554/x
  3. Step 3: Cross multiply
    128,214x = 280,554 × 280,554
  4. Step 4: Simplify right side
    128,214x = 78,710,546,916
  5. Step 5: Solve for x
    x = 78,710,546,916/128,214
  6. Step 6: Final answer
    x = 613,899.78

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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.