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Finding the Third Proportional to 305,257.50 and 663,033.75

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Solution

The third proportional to 305,257.50 and 663,033.75 is: 1,440,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,257.50 : 663,033.75 = 663,033.75 : x
  2. Step 2: Convert to fraction form
    305,257.50/663,033.75 = 663,033.75/x
  3. Step 3: Cross multiply
    305,257.50x = 663,033.75 × 663,033.75
  4. Step 4: Simplify right side
    305,257.50x = 439,613,753,639.06
  5. Step 5: Solve for x
    x = 439,613,753,639.06/305,257.50
  6. Step 6: Final answer
    x = 1,440,140.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.