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Finding the Third Proportional to 128,544 and 265,288

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Solution

The third proportional to 128,544 and 265,288 is: 547,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,544 : 265,288 = 265,288 : x
  2. Step 2: Convert to fraction form
    128,544/265,288 = 265,288/x
  3. Step 3: Cross multiply
    128,544x = 265,288 × 265,288
  4. Step 4: Simplify right side
    128,544x = 70,377,722,944
  5. Step 5: Solve for x
    x = 70,377,722,944/128,544
  6. Step 6: Final answer
    x = 547,499.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.