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Finding the Third Proportional to 93,578 and 133,799

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Solution

The third proportional to 93,578 and 133,799 is: 191,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,578 : 133,799 = 133,799 : x
  2. Step 2: Convert to fraction form
    93,578/133,799 = 133,799/x
  3. Step 3: Cross multiply
    93,578x = 133,799 × 133,799
  4. Step 4: Simplify right side
    93,578x = 17,902,172,401
  5. Step 5: Solve for x
    x = 17,902,172,401/93,578
  6. Step 6: Final answer
    x = 191,307.49

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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.