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Finding the Third Proportional to 51,488 and 120,290

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Solution

The third proportional to 51,488 and 120,290 is: 281,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,488 : 120,290 = 120,290 : x
  2. Step 2: Convert to fraction form
    51,488/120,290 = 120,290/x
  3. Step 3: Cross multiply
    51,488x = 120,290 × 120,290
  4. Step 4: Simplify right side
    51,488x = 14,469,684,100
  5. Step 5: Solve for x
    x = 14,469,684,100/51,488
  6. Step 6: Final answer
    x = 281,030.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.