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Finding the Third Proportional to 451,391.50 and 685,952.50

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Solution

The third proportional to 451,391.50 and 685,952.50 is: 1,042,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,391.50 : 685,952.50 = 685,952.50 : x
  2. Step 2: Convert to fraction form
    451,391.50/685,952.50 = 685,952.50/x
  3. Step 3: Cross multiply
    451,391.50x = 685,952.50 × 685,952.50
  4. Step 4: Simplify right side
    451,391.50x = 470,530,832,256.25
  5. Step 5: Solve for x
    x = 470,530,832,256.25/451,391.50
  6. Step 6: Final answer
    x = 1,042,400.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.