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Finding the Third Proportional to 280,434 and 608,435.50

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Solution

The third proportional to 280,434 and 608,435.50 is: 1,320,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434 : 608,435.50 = 608,435.50 : x
  2. Step 2: Convert to fraction form
    280,434/608,435.50 = 608,435.50/x
  3. Step 3: Cross multiply
    280,434x = 608,435.50 × 608,435.50
  4. Step 4: Simplify right side
    280,434x = 370,193,757,660.25
  5. Step 5: Solve for x
    x = 370,193,757,660.25/280,434
  6. Step 6: Final answer
    x = 1,320,074.45

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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.