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Finding the Third Proportional to 120,518 and 263,248

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Solution

The third proportional to 120,518 and 263,248 is: 575,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,518 : 263,248 = 263,248 : x
  2. Step 2: Convert to fraction form
    120,518/263,248 = 263,248/x
  3. Step 3: Cross multiply
    120,518x = 263,248 × 263,248
  4. Step 4: Simplify right side
    120,518x = 69,299,509,504
  5. Step 5: Solve for x
    x = 69,299,509,504/120,518
  6. Step 6: Final answer
    x = 575,013.77

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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.