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Finding the Third Proportional to 180,564 and 384,455.25

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Solution

The third proportional to 180,564 and 384,455.25 is: 818,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564 : 384,455.25 = 384,455.25 : x
  2. Step 2: Convert to fraction form
    180,564/384,455.25 = 384,455.25/x
  3. Step 3: Cross multiply
    180,564x = 384,455.25 × 384,455.25
  4. Step 4: Simplify right side
    180,564x = 147,805,839,252.56
  5. Step 5: Solve for x
    x = 147,805,839,252.56/180,564
  6. Step 6: Final answer
    x = 818,578.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.