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Finding the Third Proportional to 51,308 and 122,276

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Solution

The third proportional to 51,308 and 122,276 is: 291,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,308 : 122,276 = 122,276 : x
  2. Step 2: Convert to fraction form
    51,308/122,276 = 122,276/x
  3. Step 3: Cross multiply
    51,308x = 122,276 × 122,276
  4. Step 4: Simplify right side
    51,308x = 14,951,420,176
  5. Step 5: Solve for x
    x = 14,951,420,176/51,308
  6. Step 6: Final answer
    x = 291,405.24

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.