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Finding the Third Proportional to 517,508 and 822,918

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Solution

The third proportional to 517,508 and 822,918 is: 1,308,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,508 : 822,918 = 822,918 : x
  2. Step 2: Convert to fraction form
    517,508/822,918 = 822,918/x
  3. Step 3: Cross multiply
    517,508x = 822,918 × 822,918
  4. Step 4: Simplify right side
    517,508x = 677,194,034,724
  5. Step 5: Solve for x
    x = 677,194,034,724/517,508
  6. Step 6: Final answer
    x = 1,308,567.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.