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Finding the Third Proportional to 390,648.87 and 587,013.33

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Solution

The third proportional to 390,648.87 and 587,013.33 is: 882,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,648.87 : 587,013.33 = 587,013.33 : x
  2. Step 2: Convert to fraction form
    390,648.87/587,013.33 = 587,013.33/x
  3. Step 3: Cross multiply
    390,648.87x = 587,013.33 × 587,013.33
  4. Step 4: Simplify right side
    390,648.87x = 344,584,647,396.39
  5. Step 5: Solve for x
    x = 344,584,647,396.39/390,648.87
  6. Step 6: Final answer
    x = 882,082.80

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