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Finding the Third Proportional to 338,510.81 and 815,622.75

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Solution

The third proportional to 338,510.81 and 815,622.75 is: 1,965,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,510.81 : 815,622.75 = 815,622.75 : x
  2. Step 2: Convert to fraction form
    338,510.81/815,622.75 = 815,622.75/x
  3. Step 3: Cross multiply
    338,510.81x = 815,622.75 × 815,622.75
  4. Step 4: Simplify right side
    338,510.81x = 665,240,470,317.56
  5. Step 5: Solve for x
    x = 665,240,470,317.56/338,510.81
  6. Step 6: Final answer
    x = 1,965,197.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.