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Finding the Third Proportional to 85,643 and 180,519

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Solution

The third proportional to 85,643 and 180,519 is: 380,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,643 : 180,519 = 180,519 : x
  2. Step 2: Convert to fraction form
    85,643/180,519 = 180,519/x
  3. Step 3: Cross multiply
    85,643x = 180,519 × 180,519
  4. Step 4: Simplify right side
    85,643x = 32,587,109,361
  5. Step 5: Solve for x
    x = 32,587,109,361/85,643
  6. Step 6: Final answer
    x = 380,499.39

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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.