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Finding the Third Proportional to 561,788 and 1,228,677

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Solution

The third proportional to 561,788 and 1,228,677 is: 2,687,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,788 : 1,228,677 = 1,228,677 : x
  2. Step 2: Convert to fraction form
    561,788/1,228,677 = 1,228,677/x
  3. Step 3: Cross multiply
    561,788x = 1,228,677 × 1,228,677
  4. Step 4: Simplify right side
    561,788x = 1,509,647,170,329
  5. Step 5: Solve for x
    x = 1,509,647,170,329/561,788
  6. Step 6: Final answer
    x = 2,687,218.61

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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.