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Finding the Third Proportional to 128,000 and 199,240

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Solution

The third proportional to 128,000 and 199,240 is: 310,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000 : 199,240 = 199,240 : x
  2. Step 2: Convert to fraction form
    128,000/199,240 = 199,240/x
  3. Step 3: Cross multiply
    128,000x = 199,240 × 199,240
  4. Step 4: Simplify right side
    128,000x = 39,696,577,600
  5. Step 5: Solve for x
    x = 39,696,577,600/128,000
  6. Step 6: Final answer
    x = 310,129.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.