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Finding the Third Proportional to 318,630 and 695,229

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Solution

The third proportional to 318,630 and 695,229 is: 1,516,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,630 : 695,229 = 695,229 : x
  2. Step 2: Convert to fraction form
    318,630/695,229 = 695,229/x
  3. Step 3: Cross multiply
    318,630x = 695,229 × 695,229
  4. Step 4: Simplify right side
    318,630x = 483,343,362,441
  5. Step 5: Solve for x
    x = 483,343,362,441/318,630
  6. Step 6: Final answer
    x = 1,516,942.42

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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.