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Finding the Third Proportional to 280,250 and 426,855

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Solution

The third proportional to 280,250 and 426,855 is: 650,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,250 : 426,855 = 426,855 : x
  2. Step 2: Convert to fraction form
    280,250/426,855 = 426,855/x
  3. Step 3: Cross multiply
    280,250x = 426,855 × 426,855
  4. Step 4: Simplify right side
    280,250x = 182,205,191,025
  5. Step 5: Solve for x
    x = 182,205,191,025/280,250
  6. Step 6: Final answer
    x = 650,152.33

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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.