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Finding the Third Proportional to 120,520 and 263,252

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Solution

The third proportional to 120,520 and 263,252 is: 575,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,520 : 263,252 = 263,252 : x
  2. Step 2: Convert to fraction form
    120,520/263,252 = 263,252/x
  3. Step 3: Cross multiply
    120,520x = 263,252 × 263,252
  4. Step 4: Simplify right side
    120,520x = 69,301,615,504
  5. Step 5: Solve for x
    x = 69,301,615,504/120,520
  6. Step 6: Final answer
    x = 575,021.70

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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.