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Finding the Third Proportional to 133,680 and 289,184

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Solution

The third proportional to 133,680 and 289,184 is: 625,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,680 : 289,184 = 289,184 : x
  2. Step 2: Convert to fraction form
    133,680/289,184 = 289,184/x
  3. Step 3: Cross multiply
    133,680x = 289,184 × 289,184
  4. Step 4: Simplify right side
    133,680x = 83,627,385,856
  5. Step 5: Solve for x
    x = 83,627,385,856/133,680
  6. Step 6: Final answer
    x = 625,578.89

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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.