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Finding the Third Proportional to 318,176 and 686,192

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Solution

The third proportional to 318,176 and 686,192 is: 1,479,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,176 : 686,192 = 686,192 : x
  2. Step 2: Convert to fraction form
    318,176/686,192 = 686,192/x
  3. Step 3: Cross multiply
    318,176x = 686,192 × 686,192
  4. Step 4: Simplify right side
    318,176x = 470,859,460,864
  5. Step 5: Solve for x
    x = 470,859,460,864/318,176
  6. Step 6: Final answer
    x = 1,479,871.08

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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.