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Finding the Third Proportional to 339,775.88 and 509,635.13

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Solution

The third proportional to 339,775.88 and 509,635.13 is: 764,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,775.88 : 509,635.13 = 509,635.13 : x
  2. Step 2: Convert to fraction form
    339,775.88/509,635.13 = 509,635.13/x
  3. Step 3: Cross multiply
    339,775.88x = 509,635.13 × 509,635.13
  4. Step 4: Simplify right side
    339,775.88x = 259,727,960,633.77
  5. Step 5: Solve for x
    x = 259,727,960,633.77/339,775.88
  6. Step 6: Final answer
    x = 764,409.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.