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Finding the Third Proportional to 340,113.38 and 491,658.75

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Solution

The third proportional to 340,113.38 and 491,658.75 is: 710,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,113.38 : 491,658.75 = 491,658.75 : x
  2. Step 2: Convert to fraction form
    340,113.38/491,658.75 = 491,658.75/x
  3. Step 3: Cross multiply
    340,113.38x = 491,658.75 × 491,658.75
  4. Step 4: Simplify right side
    340,113.38x = 241,728,326,451.56
  5. Step 5: Solve for x
    x = 241,728,326,451.56/340,113.38
  6. Step 6: Final answer
    x = 710,728.67

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.