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Finding the Third Proportional to 280,588.50 and 617,229.75

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Solution

The third proportional to 280,588.50 and 617,229.75 is: 1,357,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,588.50 : 617,229.75 = 617,229.75 : x
  2. Step 2: Convert to fraction form
    280,588.50/617,229.75 = 617,229.75/x
  3. Step 3: Cross multiply
    280,588.50x = 617,229.75 × 617,229.75
  4. Step 4: Simplify right side
    280,588.50x = 380,972,564,285.06
  5. Step 5: Solve for x
    x = 380,972,564,285.06/280,588.50
  6. Step 6: Final answer
    x = 1,357,762.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.