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Finding the Third Proportional to 93,560 and 204,048.50

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Solution

The third proportional to 93,560 and 204,048.50 is: 445,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,560 : 204,048.50 = 204,048.50 : x
  2. Step 2: Convert to fraction form
    93,560/204,048.50 = 204,048.50/x
  3. Step 3: Cross multiply
    93,560x = 204,048.50 × 204,048.50
  4. Step 4: Simplify right side
    93,560x = 41,635,790,352.25
  5. Step 5: Solve for x
    x = 41,635,790,352.25/93,560
  6. Step 6: Final answer
    x = 445,017.00

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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.