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Finding the Third Proportional to 93,384 and 199,888

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Solution

The third proportional to 93,384 and 199,888 is: 427,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,384 : 199,888 = 199,888 : x
  2. Step 2: Convert to fraction form
    93,384/199,888 = 199,888/x
  3. Step 3: Cross multiply
    93,384x = 199,888 × 199,888
  4. Step 4: Simplify right side
    93,384x = 39,955,212,544
  5. Step 5: Solve for x
    x = 39,955,212,544/93,384
  6. Step 6: Final answer
    x = 427,859.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.