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Finding the Third Proportional to 56,718 and 121,086

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Solution

The third proportional to 56,718 and 121,086 is: 258,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,718 : 121,086 = 121,086 : x
  2. Step 2: Convert to fraction form
    56,718/121,086 = 121,086/x
  3. Step 3: Cross multiply
    56,718x = 121,086 × 121,086
  4. Step 4: Simplify right side
    56,718x = 14,661,819,396
  5. Step 5: Solve for x
    x = 14,661,819,396/56,718
  6. Step 6: Final answer
    x = 258,503.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.