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Finding the Third Proportional to 318,154 and 686,131

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Solution

The third proportional to 318,154 and 686,131 is: 1,479,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,154 : 686,131 = 686,131 : x
  2. Step 2: Convert to fraction form
    318,154/686,131 = 686,131/x
  3. Step 3: Cross multiply
    318,154x = 686,131 × 686,131
  4. Step 4: Simplify right side
    318,154x = 470,775,749,161
  5. Step 5: Solve for x
    x = 470,775,749,161/318,154
  6. Step 6: Final answer
    x = 1,479,710.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.