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Finding the Third Proportional to 93,595.50 and 204,302.25

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Solution

The third proportional to 93,595.50 and 204,302.25 is: 445,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,595.50 : 204,302.25 = 204,302.25 : x
  2. Step 2: Convert to fraction form
    93,595.50/204,302.25 = 204,302.25/x
  3. Step 3: Cross multiply
    93,595.50x = 204,302.25 × 204,302.25
  4. Step 4: Simplify right side
    93,595.50x = 41,739,409,355.06
  5. Step 5: Solve for x
    x = 41,739,409,355.06/93,595.50
  6. Step 6: Final answer
    x = 445,955.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.