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Finding the Third Proportional to 198,056 and 309,232

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Solution

The third proportional to 198,056 and 309,232 is: 482,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,056 : 309,232 = 309,232 : x
  2. Step 2: Convert to fraction form
    198,056/309,232 = 309,232/x
  3. Step 3: Cross multiply
    198,056x = 309,232 × 309,232
  4. Step 4: Simplify right side
    198,056x = 95,624,429,824
  5. Step 5: Solve for x
    x = 95,624,429,824/198,056
  6. Step 6: Final answer
    x = 482,815.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.