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Finding the Third Proportional to 56,424 and 121,356

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Solution

The third proportional to 56,424 and 121,356 is: 261,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424 : 121,356 = 121,356 : x
  2. Step 2: Convert to fraction form
    56,424/121,356 = 121,356/x
  3. Step 3: Cross multiply
    56,424x = 121,356 × 121,356
  4. Step 4: Simplify right side
    56,424x = 14,727,278,736
  5. Step 5: Solve for x
    x = 14,727,278,736/56,424
  6. Step 6: Final answer
    x = 261,010.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.