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Finding the Third Proportional to 56,846 and 122,740

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Solution

The third proportional to 56,846 and 122,740 is: 265,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,846 : 122,740 = 122,740 : x
  2. Step 2: Convert to fraction form
    56,846/122,740 = 122,740/x
  3. Step 3: Cross multiply
    56,846x = 122,740 × 122,740
  4. Step 4: Simplify right side
    56,846x = 15,065,107,600
  5. Step 5: Solve for x
    x = 15,065,107,600/56,846
  6. Step 6: Final answer
    x = 265,016.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.