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Finding the Third Proportional to 119,056 and 261,920

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Solution

The third proportional to 119,056 and 261,920 is: 576,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,056 : 261,920 = 261,920 : x
  2. Step 2: Convert to fraction form
    119,056/261,920 = 261,920/x
  3. Step 3: Cross multiply
    119,056x = 261,920 × 261,920
  4. Step 4: Simplify right side
    119,056x = 68,602,086,400
  5. Step 5: Solve for x
    x = 68,602,086,400/119,056
  6. Step 6: Final answer
    x = 576,216.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.