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Finding the Third Proportional to 93,598 and 133,846

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Solution

The third proportional to 93,598 and 133,846 is: 191,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,598 : 133,846 = 133,846 : x
  2. Step 2: Convert to fraction form
    93,598/133,846 = 133,846/x
  3. Step 3: Cross multiply
    93,598x = 133,846 × 133,846
  4. Step 4: Simplify right side
    93,598x = 17,914,751,716
  5. Step 5: Solve for x
    x = 17,914,751,716/93,598
  6. Step 6: Final answer
    x = 191,401.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.