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Finding the Third Proportional to 128,224 and 280,636

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Solution

The third proportional to 128,224 and 280,636 is: 614,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,224 : 280,636 = 280,636 : x
  2. Step 2: Convert to fraction form
    128,224/280,636 = 280,636/x
  3. Step 3: Cross multiply
    128,224x = 280,636 × 280,636
  4. Step 4: Simplify right side
    128,224x = 78,756,564,496
  5. Step 5: Solve for x
    x = 78,756,564,496/128,224
  6. Step 6: Final answer
    x = 614,210.79

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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.