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Finding the Third Proportional to 422,820 and 579,798

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Solution

The third proportional to 422,820 and 579,798 is: 795,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,820 : 579,798 = 579,798 : x
  2. Step 2: Convert to fraction form
    422,820/579,798 = 579,798/x
  3. Step 3: Cross multiply
    422,820x = 579,798 × 579,798
  4. Step 4: Simplify right side
    422,820x = 336,165,720,804
  5. Step 5: Solve for x
    x = 336,165,720,804/422,820
  6. Step 6: Final answer
    x = 795,056.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.