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Finding the Third Proportional to 509,676 and 712,866

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Solution

The third proportional to 509,676 and 712,866 is: 997,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,676 : 712,866 = 712,866 : x
  2. Step 2: Convert to fraction form
    509,676/712,866 = 712,866/x
  3. Step 3: Cross multiply
    509,676x = 712,866 × 712,866
  4. Step 4: Simplify right side
    509,676x = 508,177,933,956
  5. Step 5: Solve for x
    x = 508,177,933,956/509,676
  6. Step 6: Final answer
    x = 997,060.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.