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Finding the Third Proportional to 128,214 and 199,041.75

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Solution

The third proportional to 128,214 and 199,041.75 is: 308,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214 : 199,041.75 = 199,041.75 : x
  2. Step 2: Convert to fraction form
    128,214/199,041.75 = 199,041.75/x
  3. Step 3: Cross multiply
    128,214x = 199,041.75 × 199,041.75
  4. Step 4: Simplify right side
    128,214x = 39,617,618,243.06
  5. Step 5: Solve for x
    x = 39,617,618,243.06/128,214
  6. Step 6: Final answer
    x = 308,996.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.