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Finding the Third Proportional to 117,558 and 261,276

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Solution

The third proportional to 117,558 and 261,276 is: 580,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,558 : 261,276 = 261,276 : x
  2. Step 2: Convert to fraction form
    117,558/261,276 = 261,276/x
  3. Step 3: Cross multiply
    117,558x = 261,276 × 261,276
  4. Step 4: Simplify right side
    117,558x = 68,265,148,176
  5. Step 5: Solve for x
    x = 68,265,148,176/117,558
  6. Step 6: Final answer
    x = 580,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.