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Finding the Third Proportional to 85,308 and 198,318

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Solution

The third proportional to 85,308 and 198,318 is: 461,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,308 : 198,318 = 198,318 : x
  2. Step 2: Convert to fraction form
    85,308/198,318 = 198,318/x
  3. Step 3: Cross multiply
    85,308x = 198,318 × 198,318
  4. Step 4: Simplify right side
    85,308x = 39,330,029,124
  5. Step 5: Solve for x
    x = 39,330,029,124/85,308
  6. Step 6: Final answer
    x = 461,035.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.