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Finding the Third Proportional to 128,310 and 261,660

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Solution

The third proportional to 128,310 and 261,660 is: 533,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,310 : 261,660 = 261,660 : x
  2. Step 2: Convert to fraction form
    128,310/261,660 = 261,660/x
  3. Step 3: Cross multiply
    128,310x = 261,660 × 261,660
  4. Step 4: Simplify right side
    128,310x = 68,465,955,600
  5. Step 5: Solve for x
    x = 68,465,955,600/128,310
  6. Step 6: Final answer
    x = 533,597.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.