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Finding the Third Proportional to 55,776 and 117,408

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Solution

The third proportional to 55,776 and 117,408 is: 247,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776 : 117,408 = 117,408 : x
  2. Step 2: Convert to fraction form
    55,776/117,408 = 117,408/x
  3. Step 3: Cross multiply
    55,776x = 117,408 × 117,408
  4. Step 4: Simplify right side
    55,776x = 13,784,638,464
  5. Step 5: Solve for x
    x = 13,784,638,464/55,776
  6. Step 6: Final answer
    x = 247,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.