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Finding the Third Proportional to 280,224 and 420,628.50

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Solution

The third proportional to 280,224 and 420,628.50 is: 631,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,224 : 420,628.50 = 420,628.50 : x
  2. Step 2: Convert to fraction form
    280,224/420,628.50 = 420,628.50/x
  3. Step 3: Cross multiply
    280,224x = 420,628.50 × 420,628.50
  4. Step 4: Simplify right side
    280,224x = 176,928,335,012.25
  5. Step 5: Solve for x
    x = 176,928,335,012.25/280,224
  6. Step 6: Final answer
    x = 631,381.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.