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Finding the Third Proportional to 167,216 and 261,920

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Solution

The third proportional to 167,216 and 261,920 is: 410,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,216 : 261,920 = 261,920 : x
  2. Step 2: Convert to fraction form
    167,216/261,920 = 261,920/x
  3. Step 3: Cross multiply
    167,216x = 261,920 × 261,920
  4. Step 4: Simplify right side
    167,216x = 68,602,086,400
  5. Step 5: Solve for x
    x = 68,602,086,400/167,216
  6. Step 6: Final answer
    x = 410,260.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.