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Finding the Third Proportional to 318,638 and 695,245

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Solution

The third proportional to 318,638 and 695,245 is: 1,516,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,638 : 695,245 = 695,245 : x
  2. Step 2: Convert to fraction form
    318,638/695,245 = 695,245/x
  3. Step 3: Cross multiply
    318,638x = 695,245 × 695,245
  4. Step 4: Simplify right side
    318,638x = 483,365,610,025
  5. Step 5: Solve for x
    x = 483,365,610,025/318,638
  6. Step 6: Final answer
    x = 1,516,974.15

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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.