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Finding the Third Proportional to 89,850 and 138,523

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Solution

The third proportional to 89,850 and 138,523 is: 213,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,850 : 138,523 = 138,523 : x
  2. Step 2: Convert to fraction form
    89,850/138,523 = 138,523/x
  3. Step 3: Cross multiply
    89,850x = 138,523 × 138,523
  4. Step 4: Simplify right side
    89,850x = 19,188,621,529
  5. Step 5: Solve for x
    x = 19,188,621,529/89,850
  6. Step 6: Final answer
    x = 213,562.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.