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Finding the Third Proportional to 180,316 and 384,756

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Solution

The third proportional to 180,316 and 384,756 is: 820,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,316 : 384,756 = 384,756 : x
  2. Step 2: Convert to fraction form
    180,316/384,756 = 384,756/x
  3. Step 3: Cross multiply
    180,316x = 384,756 × 384,756
  4. Step 4: Simplify right side
    180,316x = 148,037,179,536
  5. Step 5: Solve for x
    x = 148,037,179,536/180,316
  6. Step 6: Final answer
    x = 820,987.49

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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.