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Finding the Third Proportional to 183,906 and 387,495

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Solution

The third proportional to 183,906 and 387,495 is: 816,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,906 : 387,495 = 387,495 : x
  2. Step 2: Convert to fraction form
    183,906/387,495 = 387,495/x
  3. Step 3: Cross multiply
    183,906x = 387,495 × 387,495
  4. Step 4: Simplify right side
    183,906x = 150,152,375,025
  5. Step 5: Solve for x
    x = 150,152,375,025/183,906
  6. Step 6: Final answer
    x = 816,462.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.