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Finding the Third Proportional to 520,457 and 1,135,225

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Solution

The third proportional to 520,457 and 1,135,225 is: 2,476,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,457 : 1,135,225 = 1,135,225 : x
  2. Step 2: Convert to fraction form
    520,457/1,135,225 = 1,135,225/x
  3. Step 3: Cross multiply
    520,457x = 1,135,225 × 1,135,225
  4. Step 4: Simplify right side
    520,457x = 1,288,735,800,625
  5. Step 5: Solve for x
    x = 1,288,735,800,625/520,457
  6. Step 6: Final answer
    x = 2,476,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.