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Finding the Third Proportional to 331,515 and 509,856.75

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Solution

The third proportional to 331,515 and 509,856.75 is: 784,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,515 : 509,856.75 = 509,856.75 : x
  2. Step 2: Convert to fraction form
    331,515/509,856.75 = 509,856.75/x
  3. Step 3: Cross multiply
    331,515x = 509,856.75 × 509,856.75
  4. Step 4: Simplify right side
    331,515x = 259,953,905,520.56
  5. Step 5: Solve for x
    x = 259,953,905,520.56/331,515
  6. Step 6: Final answer
    x = 784,139.20

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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.