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Finding the Third Proportional to 517,866 and 803,679

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Solution

The third proportional to 517,866 and 803,679 is: 1,247,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,866 : 803,679 = 803,679 : x
  2. Step 2: Convert to fraction form
    517,866/803,679 = 803,679/x
  3. Step 3: Cross multiply
    517,866x = 803,679 × 803,679
  4. Step 4: Simplify right side
    517,866x = 645,899,935,041
  5. Step 5: Solve for x
    x = 645,899,935,041/517,866
  6. Step 6: Final answer
    x = 1,247,233.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.