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Finding the Third Proportional to 56,240 and 122,860

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Solution

The third proportional to 56,240 and 122,860 is: 268,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,240 : 122,860 = 122,860 : x
  2. Step 2: Convert to fraction form
    56,240/122,860 = 122,860/x
  3. Step 3: Cross multiply
    56,240x = 122,860 × 122,860
  4. Step 4: Simplify right side
    56,240x = 15,094,579,600
  5. Step 5: Solve for x
    x = 15,094,579,600/56,240
  6. Step 6: Final answer
    x = 268,395.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.