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Finding the Third Proportional to 128,385 and 200,350

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Solution

The third proportional to 128,385 and 200,350 is: 312,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,385 : 200,350 = 200,350 : x
  2. Step 2: Convert to fraction form
    128,385/200,350 = 200,350/x
  3. Step 3: Cross multiply
    128,385x = 200,350 × 200,350
  4. Step 4: Simplify right side
    128,385x = 40,140,122,500
  5. Step 5: Solve for x
    x = 40,140,122,500/128,385
  6. Step 6: Final answer
    x = 312,654.30

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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.