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Finding the Third Proportional to 280,451.50 and 608,219

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Solution

The third proportional to 280,451.50 and 608,219 is: 1,319,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,451.50 : 608,219 = 608,219 : x
  2. Step 2: Convert to fraction form
    280,451.50/608,219 = 608,219/x
  3. Step 3: Cross multiply
    280,451.50x = 608,219 × 608,219
  4. Step 4: Simplify right side
    280,451.50x = 369,930,351,961
  5. Step 5: Solve for x
    x = 369,930,351,961/280,451.50
  6. Step 6: Final answer
    x = 1,319,052.86

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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.