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Finding the Third Proportional to 93,190.50 and 199,442.25

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Solution

The third proportional to 93,190.50 and 199,442.25 is: 426,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,190.50 : 199,442.25 = 199,442.25 : x
  2. Step 2: Convert to fraction form
    93,190.50/199,442.25 = 199,442.25/x
  3. Step 3: Cross multiply
    93,190.50x = 199,442.25 × 199,442.25
  4. Step 4: Simplify right side
    93,190.50x = 39,777,211,085.06
  5. Step 5: Solve for x
    x = 39,777,211,085.06/93,190.50
  6. Step 6: Final answer
    x = 426,837.62

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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.