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Finding the Third Proportional to 55,852 and 121,400

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Solution

The third proportional to 55,852 and 121,400 is: 263,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852 : 121,400 = 121,400 : x
  2. Step 2: Convert to fraction form
    55,852/121,400 = 121,400/x
  3. Step 3: Cross multiply
    55,852x = 121,400 × 121,400
  4. Step 4: Simplify right side
    55,852x = 14,737,960,000
  5. Step 5: Solve for x
    x = 14,737,960,000/55,852
  6. Step 6: Final answer
    x = 263,875.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.