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Finding the Third Proportional to 561,798 and 1,228,698

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Solution

The third proportional to 561,798 and 1,228,698 is: 2,687,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,798 : 1,228,698 = 1,228,698 : x
  2. Step 2: Convert to fraction form
    561,798/1,228,698 = 1,228,698/x
  3. Step 3: Cross multiply
    561,798x = 1,228,698 × 1,228,698
  4. Step 4: Simplify right side
    561,798x = 1,509,698,775,204
  5. Step 5: Solve for x
    x = 1,509,698,775,204/561,798
  6. Step 6: Final answer
    x = 2,687,262.64

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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.