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Finding the Third Proportional to 318,628 and 695,225

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Solution

The third proportional to 318,628 and 695,225 is: 1,516,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,628 : 695,225 = 695,225 : x
  2. Step 2: Convert to fraction form
    318,628/695,225 = 695,225/x
  3. Step 3: Cross multiply
    318,628x = 695,225 × 695,225
  4. Step 4: Simplify right side
    318,628x = 483,337,800,625
  5. Step 5: Solve for x
    x = 483,337,800,625/318,628
  6. Step 6: Final answer
    x = 1,516,934.48

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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.