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Finding the Third Proportional to 133,227 and 289,953

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Solution

The third proportional to 133,227 and 289,953 is: 631,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,227 : 289,953 = 289,953 : x
  2. Step 2: Convert to fraction form
    133,227/289,953 = 289,953/x
  3. Step 3: Cross multiply
    133,227x = 289,953 × 289,953
  4. Step 4: Simplify right side
    133,227x = 84,072,742,209
  5. Step 5: Solve for x
    x = 84,072,742,209/133,227
  6. Step 6: Final answer
    x = 631,048.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.