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Finding the Third Proportional to 84,592 and 183,756

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Solution

The third proportional to 84,592 and 183,756 is: 399,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,592 : 183,756 = 183,756 : x
  2. Step 2: Convert to fraction form
    84,592/183,756 = 183,756/x
  3. Step 3: Cross multiply
    84,592x = 183,756 × 183,756
  4. Step 4: Simplify right side
    84,592x = 33,766,267,536
  5. Step 5: Solve for x
    x = 33,766,267,536/84,592
  6. Step 6: Final answer
    x = 399,166.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.