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Finding the Third Proportional to 509,916 and 772,866

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Solution

The third proportional to 509,916 and 772,866 is: 1,171,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,916 : 772,866 = 772,866 : x
  2. Step 2: Convert to fraction form
    509,916/772,866 = 772,866/x
  3. Step 3: Cross multiply
    509,916x = 772,866 × 772,866
  4. Step 4: Simplify right side
    509,916x = 597,321,853,956
  5. Step 5: Solve for x
    x = 597,321,853,956/509,916
  6. Step 6: Final answer
    x = 1,171,412.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.