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Finding the Third Proportional to 453,905 and 682,816

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Solution

The third proportional to 453,905 and 682,816 is: 1,027,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,905 : 682,816 = 682,816 : x
  2. Step 2: Convert to fraction form
    453,905/682,816 = 682,816/x
  3. Step 3: Cross multiply
    453,905x = 682,816 × 682,816
  4. Step 4: Simplify right side
    453,905x = 466,237,689,856
  5. Step 5: Solve for x
    x = 466,237,689,856/453,905
  6. Step 6: Final answer
    x = 1,027,170.20

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Why These Related Problems?

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