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Finding the Third Proportional to 318,629 and 695,227

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Solution

The third proportional to 318,629 and 695,227 is: 1,516,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,629 : 695,227 = 695,227 : x
  2. Step 2: Convert to fraction form
    318,629/695,227 = 695,227/x
  3. Step 3: Cross multiply
    318,629x = 695,227 × 695,227
  4. Step 4: Simplify right side
    318,629x = 483,340,581,529
  5. Step 5: Solve for x
    x = 483,340,581,529/318,629
  6. Step 6: Final answer
    x = 1,516,938.45

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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.