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Finding the Third Proportional to 93,702.56 and 204,880.31

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Solution

The third proportional to 93,702.56 and 204,880.31 is: 447,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,702.56 : 204,880.31 = 204,880.31 : x
  2. Step 2: Convert to fraction form
    93,702.56/204,880.31 = 204,880.31/x
  3. Step 3: Cross multiply
    93,702.56x = 204,880.31 × 204,880.31
  4. Step 4: Simplify right side
    93,702.56x = 41,975,942,450.10
  5. Step 5: Solve for x
    x = 41,975,942,450.10/93,702.56
  6. Step 6: Final answer
    x = 447,970.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.