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Finding the Third Proportional to 128,808 and 271,600

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Solution

The third proportional to 128,808 and 271,600 is: 572,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,808 : 271,600 = 271,600 : x
  2. Step 2: Convert to fraction form
    128,808/271,600 = 271,600/x
  3. Step 3: Cross multiply
    128,808x = 271,600 × 271,600
  4. Step 4: Simplify right side
    128,808x = 73,766,560,000
  5. Step 5: Solve for x
    x = 73,766,560,000/128,808
  6. Step 6: Final answer
    x = 572,686.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.