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Finding the Third Proportional to 318,188 and 686,196

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Solution

The third proportional to 318,188 and 686,196 is: 1,479,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,188 : 686,196 = 686,196 : x
  2. Step 2: Convert to fraction form
    318,188/686,196 = 686,196/x
  3. Step 3: Cross multiply
    318,188x = 686,196 × 686,196
  4. Step 4: Simplify right side
    318,188x = 470,864,950,416
  5. Step 5: Solve for x
    x = 470,864,950,416/318,188
  6. Step 6: Final answer
    x = 1,479,832.52

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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.