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Finding the Third Proportional to 55,505 and 121,378

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Solution

The third proportional to 55,505 and 121,378 is: 265,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,505 : 121,378 = 121,378 : x
  2. Step 2: Convert to fraction form
    55,505/121,378 = 121,378/x
  3. Step 3: Cross multiply
    55,505x = 121,378 × 121,378
  4. Step 4: Simplify right side
    55,505x = 14,732,618,884
  5. Step 5: Solve for x
    x = 14,732,618,884/55,505
  6. Step 6: Final answer
    x = 265,428.68

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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.