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Finding the Third Proportional to 93,786 and 134,346

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Solution

The third proportional to 93,786 and 134,346 is: 192,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,786 : 134,346 = 134,346 : x
  2. Step 2: Convert to fraction form
    93,786/134,346 = 134,346/x
  3. Step 3: Cross multiply
    93,786x = 134,346 × 134,346
  4. Step 4: Simplify right side
    93,786x = 18,048,847,716
  5. Step 5: Solve for x
    x = 18,048,847,716/93,786
  6. Step 6: Final answer
    x = 192,447.14

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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.