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Finding the Third Proportional to 168,829.50 and 398,530.50

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Solution

The third proportional to 168,829.50 and 398,530.50 is: 940,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,829.50 : 398,530.50 = 398,530.50 : x
  2. Step 2: Convert to fraction form
    168,829.50/398,530.50 = 398,530.50/x
  3. Step 3: Cross multiply
    168,829.50x = 398,530.50 × 398,530.50
  4. Step 4: Simplify right side
    168,829.50x = 158,826,559,430.25
  5. Step 5: Solve for x
    x = 158,826,559,430.25/168,829.50
  6. Step 6: Final answer
    x = 940,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.