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Finding the Third Proportional to 280,586.25 and 606,100.50

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Solution

The third proportional to 280,586.25 and 606,100.50 is: 1,309,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,586.25 : 606,100.50 = 606,100.50 : x
  2. Step 2: Convert to fraction form
    280,586.25/606,100.50 = 606,100.50/x
  3. Step 3: Cross multiply
    280,586.25x = 606,100.50 × 606,100.50
  4. Step 4: Simplify right side
    280,586.25x = 367,357,816,100.25
  5. Step 5: Solve for x
    x = 367,357,816,100.25/280,586.25
  6. Step 6: Final answer
    x = 1,309,250.96

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