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Finding the Third Proportional to 278,919 and 609,678

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Solution

The third proportional to 278,919 and 609,678 is: 1,332,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919 : 609,678 = 609,678 : x
  2. Step 2: Convert to fraction form
    278,919/609,678 = 609,678/x
  3. Step 3: Cross multiply
    278,919x = 609,678 × 609,678
  4. Step 4: Simplify right side
    278,919x = 371,707,263,684
  5. Step 5: Solve for x
    x = 371,707,263,684/278,919
  6. Step 6: Final answer
    x = 1,332,671.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.