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Finding the Third Proportional to 93,508 and 131,525

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Solution

The third proportional to 93,508 and 131,525 is: 184,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,508 : 131,525 = 131,525 : x
  2. Step 2: Convert to fraction form
    93,508/131,525 = 131,525/x
  3. Step 3: Cross multiply
    93,508x = 131,525 × 131,525
  4. Step 4: Simplify right side
    93,508x = 17,298,825,625
  5. Step 5: Solve for x
    x = 17,298,825,625/93,508
  6. Step 6: Final answer
    x = 184,998.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.