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Finding the Third Proportional to 280,048 and 425,250

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Solution

The third proportional to 280,048 and 425,250 is: 645,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,048 : 425,250 = 425,250 : x
  2. Step 2: Convert to fraction form
    280,048/425,250 = 425,250/x
  3. Step 3: Cross multiply
    280,048x = 425,250 × 425,250
  4. Step 4: Simplify right side
    280,048x = 180,837,562,500
  5. Step 5: Solve for x
    x = 180,837,562,500/280,048
  6. Step 6: Final answer
    x = 645,737.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.