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Finding the Third Proportional to 520,867 and 782,687

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Solution

The third proportional to 520,867 and 782,687 is: 1,176,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,867 : 782,687 = 782,687 : x
  2. Step 2: Convert to fraction form
    520,867/782,687 = 782,687/x
  3. Step 3: Cross multiply
    520,867x = 782,687 × 782,687
  4. Step 4: Simplify right side
    520,867x = 612,598,939,969
  5. Step 5: Solve for x
    x = 612,598,939,969/520,867
  6. Step 6: Final answer
    x = 1,176,113.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.