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Finding the Third Proportional to 51,490 and 120,295

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Solution

The third proportional to 51,490 and 120,295 is: 281,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,490 : 120,295 = 120,295 : x
  2. Step 2: Convert to fraction form
    51,490/120,295 = 120,295/x
  3. Step 3: Cross multiply
    51,490x = 120,295 × 120,295
  4. Step 4: Simplify right side
    51,490x = 14,470,887,025
  5. Step 5: Solve for x
    x = 14,470,887,025/51,490
  6. Step 6: Final answer
    x = 281,042.67

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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.