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Finding the Third Proportional to 513,774 and 681,717

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Solution

The third proportional to 513,774 and 681,717 is: 904,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,774 : 681,717 = 681,717 : x
  2. Step 2: Convert to fraction form
    513,774/681,717 = 681,717/x
  3. Step 3: Cross multiply
    513,774x = 681,717 × 681,717
  4. Step 4: Simplify right side
    513,774x = 464,738,068,089
  5. Step 5: Solve for x
    x = 464,738,068,089/513,774
  6. Step 6: Final answer
    x = 904,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.