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Finding the Third Proportional to 401,609.81 and 844,635.94

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Solution

The third proportional to 401,609.81 and 844,635.94 is: 1,776,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,609.81 : 844,635.94 = 844,635.94 : x
  2. Step 2: Convert to fraction form
    401,609.81/844,635.94 = 844,635.94/x
  3. Step 3: Cross multiply
    401,609.81x = 844,635.94 × 844,635.94
  4. Step 4: Simplify right side
    401,609.81x = 713,409,866,916.50
  5. Step 5: Solve for x
    x = 713,409,866,916.50/401,609.81
  6. Step 6: Final answer
    x = 1,776,375.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.