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Finding the Third Proportional to 106,128 and 223,195.50

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Solution

The third proportional to 106,128 and 223,195.50 is: 469,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128 : 223,195.50 = 223,195.50 : x
  2. Step 2: Convert to fraction form
    106,128/223,195.50 = 223,195.50/x
  3. Step 3: Cross multiply
    106,128x = 223,195.50 × 223,195.50
  4. Step 4: Simplify right side
    106,128x = 49,816,231,220.25
  5. Step 5: Solve for x
    x = 49,816,231,220.25/106,128
  6. Step 6: Final answer
    x = 469,397.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.