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Finding the Third Proportional to 275,217.75 and 455,494.50

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Solution

The third proportional to 275,217.75 and 455,494.50 is: 753,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217.75 : 455,494.50 = 455,494.50 : x
  2. Step 2: Convert to fraction form
    275,217.75/455,494.50 = 455,494.50/x
  3. Step 3: Cross multiply
    275,217.75x = 455,494.50 × 455,494.50
  4. Step 4: Simplify right side
    275,217.75x = 207,475,239,530.25
  5. Step 5: Solve for x
    x = 207,475,239,530.25/275,217.75
  6. Step 6: Final answer
    x = 753,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.