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Finding the Third Proportional to 85,310 and 198,323

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Solution

The third proportional to 85,310 and 198,323 is: 461,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,310 : 198,323 = 198,323 : x
  2. Step 2: Convert to fraction form
    85,310/198,323 = 198,323/x
  3. Step 3: Cross multiply
    85,310x = 198,323 × 198,323
  4. Step 4: Simplify right side
    85,310x = 39,332,012,329
  5. Step 5: Solve for x
    x = 39,332,012,329/85,310
  6. Step 6: Final answer
    x = 461,048.09

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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.