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Finding the Third Proportional to 128,576 and 263,414

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Solution

The third proportional to 128,576 and 263,414 is: 539,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,576 : 263,414 = 263,414 : x
  2. Step 2: Convert to fraction form
    128,576/263,414 = 263,414/x
  3. Step 3: Cross multiply
    128,576x = 263,414 × 263,414
  4. Step 4: Simplify right side
    128,576x = 69,386,935,396
  5. Step 5: Solve for x
    x = 69,386,935,396/128,576
  6. Step 6: Final answer
    x = 539,656.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.