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Finding the Third Proportional to 331,121.25 and 509,599.69

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Solution

The third proportional to 331,121.25 and 509,599.69 is: 784,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,121.25 : 509,599.69 = 509,599.69 : x
  2. Step 2: Convert to fraction form
    331,121.25/509,599.69 = 509,599.69/x
  3. Step 3: Cross multiply
    331,121.25x = 509,599.69 × 509,599.69
  4. Step 4: Simplify right side
    331,121.25x = 259,691,841,500.10
  5. Step 5: Solve for x
    x = 259,691,841,500.10/331,121.25
  6. Step 6: Final answer
    x = 784,280.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.