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Finding the Third Proportional to 204,666.75 and 442,624.50

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Solution

The third proportional to 204,666.75 and 442,624.50 is: 957,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,666.75 : 442,624.50 = 442,624.50 : x
  2. Step 2: Convert to fraction form
    204,666.75/442,624.50 = 442,624.50/x
  3. Step 3: Cross multiply
    204,666.75x = 442,624.50 × 442,624.50
  4. Step 4: Simplify right side
    204,666.75x = 195,916,448,000.25
  5. Step 5: Solve for x
    x = 195,916,448,000.25/204,666.75
  6. Step 6: Final answer
    x = 957,246.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.