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Finding the Third Proportional to 520,866 and 782,686

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Solution

The third proportional to 520,866 and 782,686 is: 1,176,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,866 : 782,686 = 782,686 : x
  2. Step 2: Convert to fraction form
    520,866/782,686 = 782,686/x
  3. Step 3: Cross multiply
    520,866x = 782,686 × 782,686
  4. Step 4: Simplify right side
    520,866x = 612,597,374,596
  5. Step 5: Solve for x
    x = 612,597,374,596/520,866
  6. Step 6: Final answer
    x = 1,176,113.19

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