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Finding the Third Proportional to 278,922 and 609,684

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Solution

The third proportional to 278,922 and 609,684 is: 1,332,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,922 : 609,684 = 609,684 : x
  2. Step 2: Convert to fraction form
    278,922/609,684 = 609,684/x
  3. Step 3: Cross multiply
    278,922x = 609,684 × 609,684
  4. Step 4: Simplify right side
    278,922x = 371,714,579,856
  5. Step 5: Solve for x
    x = 371,714,579,856/278,922
  6. Step 6: Final answer
    x = 1,332,682.90

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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.