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Finding the Third Proportional to 56,021 and 122,531

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Solution

The third proportional to 56,021 and 122,531 is: 268,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,021 : 122,531 = 122,531 : x
  2. Step 2: Convert to fraction form
    56,021/122,531 = 122,531/x
  3. Step 3: Cross multiply
    56,021x = 122,531 × 122,531
  4. Step 4: Simplify right side
    56,021x = 15,013,845,961
  5. Step 5: Solve for x
    x = 15,013,845,961/56,021
  6. Step 6: Final answer
    x = 268,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.