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Finding the Third Proportional to 55,207 and 120,440

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Solution

The third proportional to 55,207 and 120,440 is: 262,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207 : 120,440 = 120,440 : x
  2. Step 2: Convert to fraction form
    55,207/120,440 = 120,440/x
  3. Step 3: Cross multiply
    55,207x = 120,440 × 120,440
  4. Step 4: Simplify right side
    55,207x = 14,505,793,600
  5. Step 5: Solve for x
    x = 14,505,793,600/55,207
  6. Step 6: Final answer
    x = 262,752.80

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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.