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Finding the Third Proportional to 93,546 and 198,775.50

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Solution

The third proportional to 93,546 and 198,775.50 is: 422,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,546 : 198,775.50 = 198,775.50 : x
  2. Step 2: Convert to fraction form
    93,546/198,775.50 = 198,775.50/x
  3. Step 3: Cross multiply
    93,546x = 198,775.50 × 198,775.50
  4. Step 4: Simplify right side
    93,546x = 39,511,699,400.25
  5. Step 5: Solve for x
    x = 39,511,699,400.25/93,546
  6. Step 6: Final answer
    x = 422,377.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.