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Finding the Third Proportional to 96,410.25 and 200,110.50

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Solution

The third proportional to 96,410.25 and 200,110.50 is: 415,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410.25 : 200,110.50 = 200,110.50 : x
  2. Step 2: Convert to fraction form
    96,410.25/200,110.50 = 200,110.50/x
  3. Step 3: Cross multiply
    96,410.25x = 200,110.50 × 200,110.50
  4. Step 4: Simplify right side
    96,410.25x = 40,044,212,210.25
  5. Step 5: Solve for x
    x = 40,044,212,210.25/96,410.25
  6. Step 6: Final answer
    x = 415,352.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.