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Finding the Third Proportional to 131,056 and 269,888

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Solution

The third proportional to 131,056 and 269,888 is: 555,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,056 : 269,888 = 269,888 : x
  2. Step 2: Convert to fraction form
    131,056/269,888 = 269,888/x
  3. Step 3: Cross multiply
    131,056x = 269,888 × 269,888
  4. Step 4: Simplify right side
    131,056x = 72,839,532,544
  5. Step 5: Solve for x
    x = 72,839,532,544/131,056
  6. Step 6: Final answer
    x = 555,789.38

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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.