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Finding the Third Proportional to 517,864 and 803,676

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Solution

The third proportional to 517,864 and 803,676 is: 1,247,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,864 : 803,676 = 803,676 : x
  2. Step 2: Convert to fraction form
    517,864/803,676 = 803,676/x
  3. Step 3: Cross multiply
    517,864x = 803,676 × 803,676
  4. Step 4: Simplify right side
    517,864x = 645,895,112,976
  5. Step 5: Solve for x
    x = 645,895,112,976/517,864
  6. Step 6: Final answer
    x = 1,247,229.22

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Why These Related Problems?

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