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Finding the Third Proportional to 312,055 and 456,975

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Solution

The third proportional to 312,055 and 456,975 is: 669,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,055 : 456,975 = 456,975 : x
  2. Step 2: Convert to fraction form
    312,055/456,975 = 456,975/x
  3. Step 3: Cross multiply
    312,055x = 456,975 × 456,975
  4. Step 4: Simplify right side
    312,055x = 208,826,150,625
  5. Step 5: Solve for x
    x = 208,826,150,625/312,055
  6. Step 6: Final answer
    x = 669,196.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.