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Finding the Third Proportional to 133,728 and 288,354

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Solution

The third proportional to 133,728 and 288,354 is: 621,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728 : 288,354 = 288,354 : x
  2. Step 2: Convert to fraction form
    133,728/288,354 = 288,354/x
  3. Step 3: Cross multiply
    133,728x = 288,354 × 288,354
  4. Step 4: Simplify right side
    133,728x = 83,148,029,316
  5. Step 5: Solve for x
    x = 83,148,029,316/133,728
  6. Step 6: Final answer
    x = 621,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.