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Finding the Third Proportional to 133,376 and 204,506

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Solution

The third proportional to 133,376 and 204,506 is: 313,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,376 : 204,506 = 204,506 : x
  2. Step 2: Convert to fraction form
    133,376/204,506 = 204,506/x
  3. Step 3: Cross multiply
    133,376x = 204,506 × 204,506
  4. Step 4: Simplify right side
    133,376x = 41,822,704,036
  5. Step 5: Solve for x
    x = 41,822,704,036/133,376
  6. Step 6: Final answer
    x = 313,569.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.