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Finding the Third Proportional to 278,826 and 613,302

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Solution

The third proportional to 278,826 and 613,302 is: 1,349,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,826 : 613,302 = 613,302 : x
  2. Step 2: Convert to fraction form
    278,826/613,302 = 613,302/x
  3. Step 3: Cross multiply
    278,826x = 613,302 × 613,302
  4. Step 4: Simplify right side
    278,826x = 376,139,343,204
  5. Step 5: Solve for x
    x = 376,139,343,204/278,826
  6. Step 6: Final answer
    x = 1,349,011.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.