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Finding the Third Proportional to 278,910 and 420,984

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Solution

The third proportional to 278,910 and 420,984 is: 635,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,910 : 420,984 = 420,984 : x
  2. Step 2: Convert to fraction form
    278,910/420,984 = 420,984/x
  3. Step 3: Cross multiply
    278,910x = 420,984 × 420,984
  4. Step 4: Simplify right side
    278,910x = 177,227,528,256
  5. Step 5: Solve for x
    x = 177,227,528,256/278,910
  6. Step 6: Final answer
    x = 635,429.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.