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Finding the Third Proportional to 55,614 and 121,020

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Solution

The third proportional to 55,614 and 121,020 is: 263,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,614 : 121,020 = 121,020 : x
  2. Step 2: Convert to fraction form
    55,614/121,020 = 121,020/x
  3. Step 3: Cross multiply
    55,614x = 121,020 × 121,020
  4. Step 4: Simplify right side
    55,614x = 14,645,840,400
  5. Step 5: Solve for x
    x = 14,645,840,400/55,614
  6. Step 6: Final answer
    x = 263,348.09

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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.