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Finding the Third Proportional to 56,313 and 121,351

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Solution

The third proportional to 56,313 and 121,351 is: 261,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313 : 121,351 = 121,351 : x
  2. Step 2: Convert to fraction form
    56,313/121,351 = 121,351/x
  3. Step 3: Cross multiply
    56,313x = 121,351 × 121,351
  4. Step 4: Simplify right side
    56,313x = 14,726,065,201
  5. Step 5: Solve for x
    x = 14,726,065,201/56,313
  6. Step 6: Final answer
    x = 261,503.83

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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.