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Finding the Third Proportional to 280,328 and 435,256

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Solution

The third proportional to 280,328 and 435,256 is: 675,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,328 : 435,256 = 435,256 : x
  2. Step 2: Convert to fraction form
    280,328/435,256 = 435,256/x
  3. Step 3: Cross multiply
    280,328x = 435,256 × 435,256
  4. Step 4: Simplify right side
    280,328x = 189,447,785,536
  5. Step 5: Solve for x
    x = 189,447,785,536/280,328
  6. Step 6: Final answer
    x = 675,807.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.