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Finding the Third Proportional to 318,144 and 686,102

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Solution

The third proportional to 318,144 and 686,102 is: 1,479,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,144 : 686,102 = 686,102 : x
  2. Step 2: Convert to fraction form
    318,144/686,102 = 686,102/x
  3. Step 3: Cross multiply
    318,144x = 686,102 × 686,102
  4. Step 4: Simplify right side
    318,144x = 470,735,954,404
  5. Step 5: Solve for x
    x = 470,735,954,404/318,144
  6. Step 6: Final answer
    x = 1,479,631.72

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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.