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Finding the Third Proportional to 55,390.50 and 121,857

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Solution

The third proportional to 55,390.50 and 121,857 is: 268,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390.50 : 121,857 = 121,857 : x
  2. Step 2: Convert to fraction form
    55,390.50/121,857 = 121,857/x
  3. Step 3: Cross multiply
    55,390.50x = 121,857 × 121,857
  4. Step 4: Simplify right side
    55,390.50x = 14,849,128,449
  5. Step 5: Solve for x
    x = 14,849,128,449/55,390.50
  6. Step 6: Final answer
    x = 268,080.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.